{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5f673202-c42f-4ee7-85e1-1c06ae7e7202",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import matplotlib as mpl\n",
    "from scipy.stats import lognorm\n",
    "from scipy.stats import beta \n",
    "import scipy as scp\n",
    "import matplotlib as mpl\n",
    "\n",
    "mpl.rc('font',family = 'Times New Roman')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "beaf9f91-7a87-4239-bda7-6645549829cc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Rsquared(x,y):\n",
    "    SStot = 0\n",
    "    for i in range(len(y)):\n",
    "        SStot=SStot+(y[i]-np.mean(y))**2\n",
    "\n",
    "    SSres = 0\n",
    "\n",
    "    for i in range(len(y)):\n",
    "        SSres=SSres+(y[i]-x[i])**2\n",
    "\n",
    "    return 1-(SSres/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6a058ae2-3ea5-4854-a5f2-5b272c5153f3",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "g = 9.805\n",
    "\n",
    "H = 19.95\n",
    "R = 23.47\n",
    "n = 8\n",
    "bw = 2*np.pi*R/n\n",
    "\n",
    "fillr = 0.95\n",
    "\n",
    "ro = 0.998\n",
    "ph = ro*g*H*fillr\n",
    "p = ph*bw\n",
    "\n",
    "tb = 10/1000\n",
    "tw = 22.23/1000\n",
    "A = bw*tb\n",
    "I = bw*tb**3/12\n",
    "Zp = bw*tb**2/4\n",
    "Es = 210000000\n",
    "v = 0.3 \n",
    "Fys = 337000\n",
    "My = Fys*Zp\n",
    "\n",
    "ros = 7.850 #density of steel\n",
    "Ww = ros*g*H*bw*tw #weight of wall over one side of the strip\n",
    "tr = 31/1000\n",
    "mr = 35\n",
    "Wr = mr*g #weight of roof\n",
    "Wrr = Wr/n\n",
    "mtot = ro*H*fillr*np.pi*R**2\n",
    "Wtot = mtot*g\n",
    "\n",
    "kuu = Es*bw*(tw/R)**1.5/((3*(1-v**2))**0.25)\n",
    "ktt = Es*bw*tw**2*(tw/R)**0.5/(2*(3*(1-v**2))**0.75)\n",
    "ktu = -Es*bw*tw*(tw/R)/(2*(3*(1-v**2))**0.5)\n",
    "\n",
    "kuus = kuu-ktu**2/ktt\n",
    "dtu = -ktu/(ktt*kuu-ktu**2)\n",
    "dtt = kuu/(ktt*kuu-ktu**2)\n",
    "\n",
    "Ly = (6*My/p)**0.5\n",
    "wy = p*Ly**4/(72*Es*I)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bbca4ba7-f409-4296-a5a9-97bfe4c190e1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.010935210062436895"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e219adee-6f65-4307-91e2-9e3d169669ac",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#String Solution\n",
    "L = np.linspace(0,5,1000)\n",
    "N = np.zeros(len(L))\n",
    "for i in range(len(L)):\n",
    "    N[i] = 0.55*p*L[i]*((kuus/p)/(1+kuus*L[i]/(A*Es)))**(1/3)\n",
    "    \n",
    "Vs = np.zeros(len(L))\n",
    "ws = np.zeros(len(L))\n",
    "\n",
    "for i in range(len(L)):\n",
    "    Vs[i] = p*L[i]\n",
    "    if(i!=0):\n",
    "        ws[i] = p*L[i]**2/(2*N[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "170bd325-9eb9-4ebd-aa71-f80ade62832b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#Bending Solution\n",
    "wb = np.zeros(len(L))\n",
    "Vb = np.zeros(len(L))\n",
    "\n",
    "for i in range(1,len(L)):\n",
    "    M1 = -((ktt)/(ktt+2*Es*I/L[i]))*(p*L[i]**2/6)\n",
    "    if(abs(M1)>My):\n",
    "        M1 = -My\n",
    "    wb[i] = p*L[i]**4/(24*Es*I)+M1*L[i]**2/(6*Es*I)\n",
    "    Vb[i] = p*L[i]/2 - M1/L[i]\n",
    "    Lmax = 3.414*(My/p)**0.5\n",
    "    if(L[i]>=Lmax):\n",
    "        Vb[i] = p*Lmax/2 - M1/Lmax\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "971d08b4-4726-413b-8225-43b966ca97ad",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "pull = np.loadtxt('./ResultsBP/disp.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "33d48d21-b1d6-4f77-8d6b-41c57a215c87",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x20ab57f2250>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.title('Strip of Base Plate of 11.83 m width')\n",
    "plt.plot((pull[:,1]),(pull[:,0]),label='Beam FE Model Bakalis et al.(2017)')\n",
    "plt.xlim(0,0.5)\n",
    "plt.ylim(0,5000)\n",
    "plt.plot(wb,Vb,label='Bending Solution Malhotra & Veletsos (1994)')\n",
    "plt.plot(ws,Vs,label='String Solution Malhotra & Veletsos (1994)')\n",
    "#plt.plot((0.006,0.006),(0,3000),ls='--',color='k')\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "#plt.plot((0,0.0049),(0,574),color='k')\n",
    "#plt.plot((0.0049,0.5),(574,3300),color='k',label='Proposed method')\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "\n",
    "#plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure2_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "81a00a5b-501a-4096-8150-9d2c2157d5e2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Rotation_Uplift(theta):\n",
    "    Lm2a=Ly+0.01\n",
    "    Lm2b=0\n",
    "    true = 0\n",
    "    while(true==0):\n",
    "        wm2 = theta/((2/Lm2a)-(1/(2*R)))\n",
    "        N2 = 0.55*(Lm2a-Ly)*p*((kuus/p)/(1+kuus*(Lm2a-Ly)/(A*Es)))**(1/3)\n",
    "        Lm2b = (2*wm2*N2/p)**0.5+Ly\n",
    "        if(abs(Lm2a-Lm2b)<0.001):\n",
    "            true = 1\n",
    "        else:\n",
    "            Lm2a=Lm2b\n",
    "    return wm2,Lm2b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a8540e4d-3d1c-48a2-8947-919fcac1942f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.475572459323879"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl1,Lpl1 = Rotation_Uplift(0.2)\n",
    "wpl1/wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "788dc88f-dc54-43d8-aea4-03ea4de3f316",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20.111347373841806"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl2,Lpl2 = Rotation_Uplift(0.4)\n",
    "wpl2/wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "67cb8b5e-f57a-4252-b05b-7bdedd456ec6",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "L1t =np.linspace(0.1,0.9,1000)\n",
    "w1t =np.zeros(len(L1t))\n",
    "\n",
    "for i in range(len(L1t)):\n",
    "    true = 0\n",
    "    N = 300\n",
    "    #print(L1t[i])\n",
    "\n",
    "    while(true==0):\n",
    "        lam = (N*L1t[i]**2/(Es*I))**0.5\n",
    "        dtheta = 0\n",
    "        M1 = ((p*L1t[i]/N)*(1-(2/lam)*np.tanh(lam/2))+dtu*N-dtheta)/(L1t[i]/(Es*I*lam)*np.tanh(lam/2)+dtt)\n",
    "        if(abs(M1)<My):\n",
    "            M1 = -M1\n",
    "        else:\n",
    "            M1 = -My\n",
    "\n",
    "        C = ((M1*L1t[i])/(Es*I))*(1/np.sinh(lam))+(p*L1t[i]/N)*np.tanh(lam/2)\n",
    "        D = -p*L1t[i]/N\n",
    "        u1 = (N*L1t[i]/(A*Es))-((D**2*L1t[i]/(2*lam**2))*(-0.5+((lam**2)/3)+(2*np.sinh(lam)/lam)+(np.sinh(2*lam)/(4*lam))-(2*np.cosh(lam))))-((C**2*L1t[i]/(2*lam**2))*(1.5-(2*np.sinh(lam)/lam)+(np.sinh(2*lam)/(4*lam))))-((C*D*L1t[i]/(2*lam**2))*(lam-1/(2*lam)-(2*np.sinh(lam))+(np.cosh(2*lam)/(2*lam))))\n",
    "\n",
    "        N1 = -(kuu-(ktu**2/ktt))*u1+(ktu/ktt)*M1\n",
    "        #print(N1)\n",
    "        if(abs(N-N1)<0.1):\n",
    "            true = 1\n",
    "        else:\n",
    "            N = N1\n",
    "        #print(N)\n",
    "    #print(i)\n",
    "    w1t[i] = (M1/N)*(1-(lam/np.sinh(lam)))+(p*L1t[i]**2/(2*N))*(1-(2/lam)*np.tanh(lam/2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "93d181ea-e20b-4dc6-8f20-01ebfbbf9d4d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "winkSpring = np.loadtxt('./ResultsBP/WinklerSprings.out')\n",
    "lb = 50/1000\n",
    "\n",
    "nZeros = np.zeros(len(winkSpring))\n",
    "Lfe = np.zeros(len(winkSpring))\n",
    "\n",
    "for i in range(len(Lfe)):\n",
    "    if(winkSpring[i][-1]==0):\n",
    "        for j in range(len(winkSpring[i])):\n",
    "            if(winkSpring[i][j] == 0):\n",
    "                nZeros[i] = nZeros[i]+1\n",
    "            \n",
    "Lfe = nZeros*lb  \n",
    "ind = []\n",
    "ind.append(0)\n",
    "for i in range(len(Lfe)-1):\n",
    "    if(Lfe[i]!=Lfe[i+1]):\n",
    "        ind.append(i+1)\n",
    "        \n",
    "for i in range(1,len(ind)):\n",
    "    delta = (Lfe[ind[i]]-Lfe[ind[i-1]])/(ind[i]-ind[i-1])\n",
    "    for j in range(ind[i-1],ind[i]):\n",
    "        Lfe[j] = Lfe[ind[i-1]] + delta*(j-ind[i-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "88a78515-5d80-419a-804f-d4313272b3d2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Uplift_SepL(w):\n",
    "    if(w<=wy):\n",
    "        return w*(Ly/wy)\n",
    "    else:\n",
    "        Lm2a=Ly+0.01\n",
    "        Lm2b=0\n",
    "        true = 0\n",
    "        while(true==0):\n",
    "            N2 = 0.55*(Lm2a-Ly)*p*((kuus/p)/(1+kuus*(Lm2a-Ly)/(A*Es)))**(1/3)\n",
    "            Lm2b = (2*w*N2/p)**0.5+Ly\n",
    "            if(abs(Lm2a-Lm2b)<0.0001):\n",
    "                true = 1\n",
    "            else:\n",
    "                Lm2a=Lm2b\n",
    "            #print(Lm2a)\n",
    "        return Lm2b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "417e298a-b609-47e3-b53d-70a61202c9b9",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "w2 = np.linspace(0,0.5,100)\n",
    "L2 = np.zeros(len(w2))\n",
    "for i in range(len(w2)):\n",
    "    L2[i] = Uplift_SepL(w2[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "aa40cb5f-d04a-494d-b8fc-918502282482",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "w3 = w1t\n",
    "L3 = np.zeros(len(w3))\n",
    "for i in range(len(w3)):\n",
    "    L3[i] = Uplift_SepL(w3[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c789244c-6f01-4d3f-88b9-0edf0f39d34f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6988511545734111"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(L3,L1t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c4bb172b-b5d7-4936-ad8f-9f463a2b5f6b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.09404048751390144"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REL = np.zeros((len(L1t)))\n",
    "\n",
    "for i in range(len(L1t)):\n",
    "    REL[i] = abs(L1t[i]-L3[i])\n",
    "MREL= np.mean(REL)\n",
    "MREL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "54b299e4-56de-4bd6-9fb7-6c0716046ad6",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBKL = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_L_2.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "b826889b-f9d6-43b6-bff6-afff7fa60e4a",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "L4 = np.zeros(len(dataBKL[:,0]))\n",
    "for i in range(len(L4)):\n",
    "    L4[i] = Uplift_SepL(dataBKL[i,0]/1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "da58ddc6-7134-47eb-b624-4f3a9031f38c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8712081888769511"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(L4,dataBKL[:,1]/1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "7b5d8df6-52c3-4bf6-a777-c47733e7c07b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.24285584009749012"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REL = np.zeros((len(dataBKL[:,1])-2))\n",
    "\n",
    "for i in range(2,len(REL)):\n",
    "    REL[i] = abs(dataBKL[i,1]/1000-L4[i])/(dataBKL[i,1]/1000)\n",
    "MREL= np.mean(REL)\n",
    "MREL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "33f56adc-85c7-410c-a9d9-aacfe3541891",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-2.27000000e-16,  1.76795580e-02,  4.41988950e-02,  7.07182320e-02,\n",
       "        9.06077348e-02,  1.14917127e-01,  1.41436464e-01,  1.61325967e-01,\n",
       "        1.85635359e-01,  2.03314917e-01,  2.25414365e-01,  2.45303867e-01,\n",
       "        2.65193370e-01,  2.82872928e-01,  3.00552486e-01,  3.18232044e-01,\n",
       "        3.38121547e-01,  3.53591160e-01,  3.75690608e-01,  3.97790055e-01,\n",
       "        4.13259668e-01,  4.35359116e-01,  4.55248619e-01,  4.72928177e-01,\n",
       "        4.83977901e-01,  5.01657459e-01,  5.19337017e-01,  5.32596685e-01,\n",
       "        5.48066298e-01,  5.72375691e-01,  5.87845304e-01,  6.05524862e-01,\n",
       "        6.25414365e-01,  6.38674033e-01,  6.50828729e-01,  6.62983425e-01,\n",
       "        6.76243094e-01,  6.86187845e-01,  6.98342541e-01,  7.08287293e-01,\n",
       "        7.18232044e-01,  7.29281768e-01,  7.40331492e-01,  7.59116022e-01,\n",
       "        7.66850829e-01,  7.76795580e-01,  7.88950276e-01,  7.95580110e-01,\n",
       "        8.00000000e-01,  8.04419889e-01,  8.08839779e-01,  8.14364641e-01,\n",
       "        8.19889503e-01,  8.24309392e-01,  8.28729282e-01,  8.35359116e-01,\n",
       "        8.39779006e-01,  8.44198895e-01,  8.50828729e-01,  8.55248619e-01,\n",
       "        8.59668508e-01,  8.64088398e-01,  8.70718232e-01,  8.75138122e-01,\n",
       "        8.79558011e-01,  8.82872928e-01,  8.88397790e-01,  8.93922652e-01,\n",
       "        8.99447514e-01,  9.04972376e-01,  9.10497238e-01,  9.17127072e-01,\n",
       "        9.21546961e-01,  9.25966851e-01,  9.31491713e-01,  9.37016575e-01,\n",
       "        9.44751381e-01,  9.52486188e-01,  9.54696133e-01])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataBKL[:,1]/1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "6bf51816-0b43-4d47-9ae9-873c81a80118",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.        , 1.24124822, 1.        , 0.94115897,\n",
       "       0.90721222, 0.8869149 , 0.86780919, 0.88511989, 0.86888684,\n",
       "       0.85808928, 0.84786148, 0.83916785, 0.84921986, 0.84035044,\n",
       "       0.81571316, 0.71617856, 0.63812767, 0.53169463, 0.45049016,\n",
       "       0.38075323, 0.31421825, 0.25049096, 0.18832374, 0.06364845,\n",
       "       0.1030702 , 0.07940163, 0.06384268, 0.04533158, 0.01806843,\n",
       "       0.00300351, 0.01489792, 0.03336873, 0.04354508, 0.04632138,\n",
       "       0.05080159, 0.05496496, 0.0569352 , 0.06100477, 0.06364063,\n",
       "       0.06620369, 0.06845949, 0.07071422, 0.07553299, 0.07661076,\n",
       "       0.07881087, 0.08207243, 0.08105044, 0.07606689, 0.07042355,\n",
       "       0.06342052, 0.05636214, 0.05003823, 0.04257575, 0.03658066,\n",
       "       0.0332137 , 0.0246082 , 0.01677407, 0.01227142, 0.00527479,\n",
       "       0.00169434, 0.00451101, 0.00940864, 0.01285142, 0.01756689,\n",
       "       0.02156088, 0.02750401, 0.03337357, 0.03981009, 0.04743847,\n",
       "       0.05124047, 0.05868797, 0.06359334, 0.06783086, 0.07322543,\n",
       "       0.07732904, 0.08433222])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "c92b0ac5-aaff-4b88-9f12-fdeca60832ab",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "with open('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Data_SPB.txt','w') as f:\n",
    "    for i in range(len(L4)):\n",
    "        f.write(str(dataBKL[i,0]/1000)+' '+str(L4[i])+'\\n')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "7708b543-1d77-47e4-90b2-af14816d567e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.plot(wb,L)\n",
    "#plt.plot(ws,L)\n",
    "w1 = np.linspace(0,1.5,1000)\n",
    "L1 = np.zeros(len(w1))\n",
    "for i in range(len(w1)):\n",
    "    L1[i] = 2*w1[i]/(0.2+w1[i]/(2*R))\n",
    "\n",
    "plt.plot(w1,L1)\n",
    "plt.plot(dataBKL[:,0]/1000,L4)\n",
    "plt.plot(w1t,L1t,label='Theoretical Solution for Beam strip, Malholtra and Veletsos (1994)')\n",
    "plt.plot(dataBKL[:,0]/1000,dataBKL[:,1]/1000,label='Refined FE, Bakalis and Karamanos (2021)')\n",
    "plt.plot(w2,L2,color='k',label=r'Proposed Solution; $R^2=0.83$ (TS); $R^2=0.85$ (RFE)')\n",
    "#plt.plot(ws,ws/(0.2+ws/(2*R)))\n",
    "plt.xlim(0,0.2)\n",
    "plt.ylim(0,2)\n",
    "\n",
    "plt.legend()\n",
    "plt.xlabel(r'Uplift, $w$ [m]')\n",
    "plt.ylabel(r'Separation Length, $L$ [m]')\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure4_P4.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1f134c4f-dbd3-4cd3-b700-74532513d279",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "ab2420b0-8805-4deb-8b70-f396faa23b8d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x20ab628bad0>]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wb,Vb)\n",
    "plt.plot(ws,Vs)\n",
    "plt.xlim(0,0.3)\n",
    "plt.ylim(0,3000)\n",
    "plt.plot((0.005,0.005),(0,3000),ls='--',color='k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "5c3ab52f-d600-4e48-9462-721d73c0231b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Built\n",
      "Pushover analysis completed\n",
      "Done\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING analysis Static - no Integrator specified, \n",
      " StaticIntegrator default will be used\n"
     ]
    }
   ],
   "source": [
    "#Units in m and kN\n",
    "import openseespy.opensees as op\n",
    "op.wipe()\n",
    "op.model('basic', '-ndm', 2, '-ndf', 3) \n",
    "\n",
    "op.node(1, 0.0, 0.0)\n",
    "op.node(2, 0.0, 0.0)\n",
    "\n",
    "op.fix(1, 1, 1, 1)\n",
    "nodeR = 1\n",
    "nodeC = 2\n",
    "op.equalDOF(nodeR, nodeC, 2, 3)\n",
    "\n",
    "matTag1 = 5\n",
    "ePf1 = 1100\n",
    "ePd1 = 0.011\n",
    "k1 = ePf1/ePd1\n",
    "\n",
    "ePf2 = 1550\n",
    "ePd2 = 0.09\n",
    "k2 = (ePf2-ePf1)/(ePd2-ePd1)\n",
    "\n",
    "sigAct = ePf1\n",
    "beta =0.47\n",
    "epsSlip = 0.0\n",
    "epsBear = 0.25\n",
    "\n",
    "ePf3 = 4000\n",
    "ePd3 = 0.4\n",
    "\n",
    "k3 = (ePf3-ePf2)/(ePd3-ePd2)\n",
    "\n",
    "rBear = k3/k1\n",
    "\n",
    "op.uniaxialMaterial('SelfCentering',matTag1,k1,k2,sigAct,beta,epsSlip,epsBear,rBear)\n",
    "matTag2 = 6\n",
    "K = 800/0.3\n",
    "op.uniaxialMaterial('Elastic',matTag2,K,0,1e10)\n",
    "\n",
    "#matTag3 = 7\n",
    "#k2 = ePf2/ePd2\n",
    "#dy = ePd1\n",
    "#Fy = k2*dy\n",
    "#b = 0\n",
    "\n",
    "#op.uniaxialMaterial('Steel01',matTag3,Fy,k2,b)\n",
    "\n",
    "ParMatTag = 8\n",
    "op.uniaxialMaterial('Parallel',ParMatTag,matTag1,matTag2)\n",
    "\n",
    "\n",
    "eleID = 5\n",
    "\n",
    "op.element('zeroLength', eleID, nodeR, nodeC, '-mat', ParMatTag, '-dir',1)\n",
    "\n",
    "print(\"Model Built\")\n",
    "\n",
    "op.recorder('Node', '-file', 'Force.out','-node', 1, '-dof', 1, 'reaction')\n",
    "op.recorder('Node', '-file', 'DispS.out','-node', 2, '-dof', 1, 'disp')\n",
    "\n",
    "displist = [3/1000,0,3/1000,0,10/1000,0,10/1000,0,20/1000,0,20/1000,0,30/1000,0,30/1000,0,50/1000,0,50/1000,0,100/1000,0,100/1000,0,150/1000,0,150/1000,0,200/1000,0,200/1000,0,300/1000,0,300/1000,0,500/1000,0,500/1000,1000/1000,0,1000/1000,0]\n",
    "#displist = [50/1000,0,50/1000,0]\n",
    "dstep = 1/1000\n",
    "ctrlNode = 2 # node where disp is read for disp control\n",
    "dof  = 1 # degree of freedom read for disp control (1 = x displacement)\n",
    "\n",
    "POtag = 100;\n",
    "linTS = 2\n",
    "op.timeSeries('Linear',linTS)\n",
    "\n",
    "op.pattern('Plain', POtag, linTS)     \n",
    "op.load(ctrlNode,1,0,0)\n",
    "op.reactions()\n",
    "Disp = [op.nodeDisp(ctrlNode,dof)]\n",
    "force = [op.nodeReaction(1,dof)]\n",
    "\n",
    "testParams = [1.e-4, 50]\n",
    "\n",
    "op.numberer('RCM') # renumber dof's to minimize band-width (optimization), if you want to\n",
    "op.system('BandGeneral') # how to store and solve the system of equations in the analysis\n",
    "op.constraints('Plain') # how it handles boundary conditions\n",
    "op.test('NormDispIncr',*testParams) # determine if convergence has been achieved at the end of an iteration step\n",
    "op.algorithm('Newton') # use Newton's solution algorithm: updates tangent stiffness at every iteration\n",
    "op.analysis('Static') # define type of analysis static or transient\n",
    "\n",
    "ok = 0\n",
    "for j in range(0,len(displist)):\n",
    "    if(ok != 0):\n",
    "        break\n",
    "    dispnew = displist[j]\n",
    "    if(j > 0):\n",
    "        dispold = displist[j-1]\n",
    "    else:\n",
    "        dispold = 0\n",
    "    disp = dispnew - dispold\n",
    "    if(disp > 0):\n",
    "        dsteps = dstep\n",
    "    else:\n",
    "        dsteps = -dstep\n",
    "    nstep = int(disp/dsteps)\n",
    "    op.integrator('DisplacementControl', ctrlNode, dof, dsteps) # determine the next time step for an analysis\n",
    "    for i in range(nstep):\n",
    "        ok = op.analyze(1)\n",
    "        if(ok != 0):\n",
    "            testParams2 = [1.e-4, 2000]\n",
    "            op.test('EnergyIncr',*testParams2)\n",
    "            op.algorithm('Newton','-initial')\n",
    "            print(\"Trying Newton with Initial Tangent ..\")\n",
    "            ok = op.analyze(1)\n",
    "            op.test('NormDispIncr',*testParams) \n",
    "            op.algorithm('Newton') \n",
    "        if(ok!= 0):\n",
    "            op.algorithm('Broyden',50)\n",
    "            op.test('RelativeNormDispIncr',*testParams2)\n",
    "            print(\"Trying Broyden ..\")\n",
    "            ok = op.analyze(1) \n",
    "            op.test('NormDispIncr',*testParams) \n",
    "            op.algorithm('Newton') \n",
    "        if(ok != 0):\n",
    "            op.algorithm('NewtonLineSearch')\n",
    "            print(\"Trying NewtonWithLineSearch ..\")\n",
    "            ok = op.analyze(1)\n",
    "            op.algorithm('Newton') # use Newton's solution algorithm: updates tangent stiffness at every iteration\n",
    "        if(ok == 0):\n",
    "            #ctrlDisp.append(op.nodeDisp(ctrlNode,dof))\n",
    "            #force.append(op.nodeReaction(1,dof))\n",
    "            dsp = round(op.nodeDisp(ctrlNode,dof),3)\n",
    "            #print(f'Displacement {dsp} reached of {dispnew}')\n",
    "        else:\n",
    "            break\n",
    "print('Pushover analysis completed')\n",
    "\n",
    "if(ok != 0):\n",
    "    print('Problem with Pushover')\n",
    "else:\n",
    "    print('Done')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "df747cab-a5d6-4885-843c-e25787f644cf",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "f = np.loadtxt('Force.out')\n",
    "d = np.loadtxt('DispS.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "db4ca0ad-455a-4f07-9873-db07d6145c6e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8452"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "f58809fa-ef76-4542-adde-257f112cb2c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "pullC = np.loadtxt('./ResultsBP/disp_Cyclic.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "1fdc9066-77d5-426d-a02e-64f23da8a124",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.title('Half Cycle Pushover')\n",
    "plt.plot((pullC[:,1]),(pullC[:,0]),label='Bakalis et al. (2017)')\n",
    "plt.plot(d,-f,label='Calibrated Self-Centering uniaxial zero length spring')\n",
    "#plt.plot((dy,dy),(0,2000),color='k',ls='--')\n",
    "#plt.plot((dc,dc),(0,2000),color='k',ls='--')\n",
    "#plt.plot((0,0.3),(Fc,Fc),color='k',ls='--')\n",
    "plt.ylim(-50,5000)\n",
    "plt.xlim(0,0.4)\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure3_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "6084e076-c410-4fe6-b55f-bb532043f32b",
   "metadata": {},
   "outputs": [],
   "source": [
    "inx = []\n",
    "for i in range(0,len(pullC[:,1])-1):\n",
    "    if(i == 0):\n",
    "        inx.append(1)\n",
    "    if(pullC[i-1,1]>pullC[i,1] and pullC[i+1,1]>pullC[i,1]):\n",
    "        inx.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "31ce15d9-e6b6-4172-9b2c-5c099c849876",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "inxN = []\n",
    "for i in range(0,len(d)-1):\n",
    "    if(i == 0):\n",
    "        inxN.append(1)\n",
    "    if(d[i-1]>d[i] and d[i+1]>d[i]):\n",
    "        inxN.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "a222c9fc-b4ca-45ef-875a-78a6f1a6a85e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(inxN)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "4bfa9804-0c0a-42e6-b5bd-77fa89c125e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x20ab8fbdd10>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n =6\n",
    "plt.plot(pullC[inx[n]:inx[n+1],1],pullC[inx[n]:inx[n+1],0])\n",
    "plt.plot(d[inxN[n]:inxN[n+1]],-f[inxN[n]:inxN[n+1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "8bc1d105-9a43-4506-a399-a7f6d6089fad",
   "metadata": {},
   "outputs": [],
   "source": [
    "E = np.zeros(len(inx))\n",
    "ksi = np.zeros(len(inx))\n",
    "dmax = np.zeros(len(inx))\n",
    "\n",
    "for i in range(1,len(inx)):\n",
    "    E[i] = 0.0\n",
    "    for j in range(inx[i-1],inx[i]):\n",
    "        E[i] = E[i] + 2*0.5*(pullC[j-1,0]+pullC[j,0])*(pullC[j,1]-pullC[j-1,1])\n",
    "    ksi[i] = E[i]/(2*np.pi*max(pullC[inx[i-1]:inx[i],0])*max(pullC[inx[i-1]:inx[i],1]))\n",
    "    dmax[i] = max(pullC[inx[i-1]:inx[i],1])\n",
    "    \n",
    "Eabs = np.zeros(len(E))\n",
    "\n",
    "for i in range(1,len(Eabs)):\n",
    "    Eabs[i] = Eabs[i-1]+E[i] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "cd497325-17df-4730-901e-96cd8a5a3d3f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "EN = np.zeros(len(inxN))\n",
    "ksiN = np.zeros(len(inxN))\n",
    "dmaxN = np.zeros(len(inxN))\n",
    "\n",
    "for i in range(1,len(inxN)):\n",
    "    EN[i] = 0.0\n",
    "    for j in range(inxN[i-1],inxN[i]):\n",
    "        EN[i] = EN[i] + 2*0.5*(-f[j-1]-f[j])*(d[j]-d[j-1])\n",
    "    ksiN[i] = EN[i]/(2*np.pi*max(-f[inxN[i-1]:inxN[i]])*max(d[inxN[i-1]:inxN[i]]))\n",
    "    dmaxN[i] = max(d[inxN[i-1]:inxN[i]])\n",
    "    \n",
    "EabsN = np.zeros(len(EN))\n",
    "\n",
    "for i in range(1,len(EabsN)):\n",
    "    EabsN[i] = EabsN[i-1]+EN[i] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "a67df84f-72bb-46b9-af8f-e6560ed1f6e7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.24327787428413677"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RE = np.zeros((len(Eabs[6:])))\n",
    "\n",
    "for i in range(6,len(Eabs)):\n",
    "    RE[i-6] = abs(Eabs[i]-EabsN[i])/Eabs[i]\n",
    "   \n",
    "MRE = np.mean(RE)\n",
    "MRE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "4738695a-a451-4b2c-9bc3-b4f4f90cc80a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9959696821752426"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(EabsN[6:],Eabs[6:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "5a16e17b-3184-421f-b4ff-4e95bc52b3d7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.12770510903282262"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REk = np.zeros((len(ksi[10:])))\n",
    "\n",
    "for i in range(10,len(ksi)):\n",
    "    REk[i-10] = abs(ksi[i]-ksiN[i])/ksi[i]\n",
    "    \n",
    "MREk = np.mean(REk)\n",
    "MREk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "159cad2e-1d98-4620-a0b1-03b556cdd3b4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8506073446780634"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(ksiN[10:],ksi[10:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "054a8fcb-e882-4d83-83a2-c07ab0efd145",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(dmax,Eabs,color='k',label='Refined Base Plate Model (Malhotra & Veletsos, 1994)')\n",
    "plt.plot(dmaxN,EabsN,color='grey',label=r'Simplified uniaxial material, MRE = '+str(round(MRE,2)))\n",
    "plt.xlim(0,1)\n",
    "plt.ylim(0,3000)\n",
    "plt.xlabel(r'Uplift, $w$ (m)',fontsize=12)\n",
    "plt.ylabel(r'Absorbed Energy (kJ)',fontsize=12)\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(dmax[10:]/wy,ksi[10:],'o',color='k',label='Refined Base Plate Model (Malhotra & Veletsos, 1994)')\n",
    "plt.plot(dmaxN[10:]/wy,ksiN[10:],'o',color='grey',label=r'Simplified uniaxial material, MRE = '+str(round(MREk,2)))\n",
    "plt.xlim(0,50)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel(r'Uplift Ductility, $\\mu_{w}$',fontsize=12)\n",
    "plt.ylabel(r'Equivalent Viscous Damping Ratio, $\\xi_{eq}$',fontsize=12)\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure5_P4.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "16ef7c75-7034-45ab-a002-2b6169bb791b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "9c6f3117-4d40-43a9-b383-281611154d46",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "n = np.linspace(0,145,145, dtype='int')\n",
    "gamma = fillr*H/R\n",
    "vn = np.zeros(len(n))\n",
    "for i in range(len(n)):\n",
    "    vn[i] = np.pi*(2*n[i]+1)/2\n",
    "    \n",
    "I1 = np.zeros(len(n))\n",
    "I1p = np.zeros(len(n))\n",
    "\n",
    "for i in range(len(n)):\n",
    "    I1[i] = scp.special.i1(vn[i]/gamma)\n",
    "    I1p[i] = scp.special.i0(vn[i]/gamma)- scp.special.i1(vn[i]/gamma)/(vn[i]/gamma)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "0a9f2a36-d2d5-4e74-b1ca-ea509eb383ee",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "mi = np.sum(2*mtot*gamma*(I1/(I1p*vn**3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "07e3d09a-14ce-4bb6-9903-e29ede87766d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.46717067539055673"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mi/mtot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "3efc7029-16bb-4e1b-9771-27a104f8cc83",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "hi = H*np.sum((-1)**n*I1*(vn*(-1)**n-1)/(vn**4*I1p))/np.sum((I1/(I1p*vn**3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "25ad76c9-630b-4d1d-a1a6-e62e0f3bb6bf",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8.01073738986382"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "a3d5dd75-7b72-4f12-bd07-715b4030b4b0",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Ci = 6.2\n",
    "ro = 998\n",
    "tw = 12.68/1000\n",
    "Es1 = Es*1000\n",
    "Ti = Ci*H*(ro/Es1)**0.5/(tw/R)**0.5\n",
    "ki = 4*np.pi**2*mi/Ti**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "2e45154f-e4df-4acf-930d-cd559ee56f88",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "lam1 = 1.8412\n",
    "mc = mtot*2*np.tanh(lam1*gamma)/(lam1*gamma*(lam1**2-1))\n",
    "g = 9.805"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "93573e94-9f8e-4e4c-8f31-d945e6d0afb1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5080834031417524"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mc/mtot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "04f8ac5b-d211-4ca9-a2ff-d92fdea792e8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "hc = H*(1+(1-np.cosh(lam1*gamma))/(lam1*gamma*np.sinh(lam1*gamma)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "7dd64463-8374-4845-94c7-955885dc89da",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11.48058638756526"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "b423bbaa-34a3-41e6-859e-e2c41b361993",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Tc = 2*np.pi*(R/g)**0.5/(lam1*np.tanh(lam1*H/R))**0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "30b5435d-da2f-4918-8382-0134ce3d536c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.484424053491607"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Tc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "266cb6a2-8640-40d5-8137-27f94562bdd7",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Base_Shear(L):\n",
    "    mm = 1-((L)/(2*R))\n",
    "    thm = np.arctan(mm/(1-mm))\n",
    "    km = (2/(thm)**2)*(1-np.cos(thm))\n",
    "    Wsm = Wtot*(1-mm**2)\n",
    "    Wfm = Wtot-Wsm\n",
    "    Mm=Wsm*km*R+Wfm*R*(1-mm)\n",
    "    Vm = Mm/hi\n",
    "    return Vm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "3e66127a-61ce-43ab-b015-7ab0b830ea9f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "27138.42484497038"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Vyt = Base_Shear(Ly)\n",
    "Vyt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "3d2a5b72-8f01-472c-944b-018a0258dd3c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0018661929295521586"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy*hi/(2*R)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "1bad99af-7a66-4504-b19c-31ae6dff9a15",
   "metadata": {},
   "outputs": [],
   "source": [
    "jm = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank B/ResultsJM/disp.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "904bbadb-495c-4ec6-bd4f-58dfe49aa9a5",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Apo = np.trapz(jm[:,0],jm[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "d9c007fd-86b0-4c5e-907f-ec024a024e8b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25.707539974999236\n"
     ]
    }
   ],
   "source": [
    "dy = 0.0009\n",
    "Vy = 19000\n",
    "dmax = jm[-1,1]\n",
    "Vmax = jm[-1,0]\n",
    "\n",
    "Abl = dy*Vy*0.5+(Vmax+Vy)*0.5*(dmax-dy)\n",
    "print(abs(Abl-Apo))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "7af5ecbd-e91e-4543-828e-818d2c6f8a8b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 126918.75)"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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13ZQ3H8rs53eeO1RnbZ1+EmzTpk14enri6Hj7hLoSJUpgb2/Pzp07CQsLy9W2Nm3a3FNvYmIiiYmJaY+joqLMPygiImJRx44dIyAggC1btgBQr0FDqvcYxo4od0iEip4uTH+hLo/rprwFXp4LTv8WGhqKh4dHuudcXV25fPkyV69ezdW2+5k2bRqTJk3K7u6JiEgelpSUxPTp03n//fdJSkrC2dmZnn2Hs6fIE+yIMmFjbfV/N+WtiqOdbspbGOT54GRlZZU2+3NHUlISdnZ2ud52P0FBQQwdOjTtcVRUFOXLl8/yfoqISN7y119/4e/vz5EjRwBo3fYZij3Tjz9u2EGiiZpl3JjZ3Ze65dwtXKnkpjwfnLy8vIiMjEz3XExMDF5eXphMplxtux8HBwddcSciUoBERkYyevRoli9fDkDJkiXp0X8sm5KrcvpGKvY21gxsc/umvHY2eeoaK8kFee7kcLg9y3T3yeHVqlUjIiICe3t7Ll++TNWqVblx4wYRERG52vbvmaj70cnhIiL5k2EY/PDDD/Tv358rV64A8OKrvUhs+DL/XEsBoGGFoszs4UuVkropb0GT2c/vPBeV7+S4O//18vKiQ4cObN68GYANGzYQGBiIo6NjrreJiEjBdOnSJbp160b37t25cuUK1apVY8i8z/jHpyf/XEvB2d6GiZ1qsarvUwpNhVyemnGKiYnh008/JTAwkAkTJtC/f388PT0JDw9n9OjR+Pj4EBERwfTp07G3v702Rm63PYxmnERE8o/U1FSWLVvGu+++S3R0NLa2tvR+ZwgXKrTnyLUEAJpX9WRqt7qU99BNeQuyzH5+56ngVBAoOImI5A8HDx7E39+fv//+G4AnnniCpm+9y+pzNqSYDNwcbRn3fC16PKab8hYG+XYdJxERkZwUHx/PlClTmDlzJikpKbi6uvLOyAnsdGzIt2fiAIP2tUsxuUsdSuqmvPIvCk4iIlJo/PHHHwQEBHDq1CkAOnfpSpWuA/jqeDxGTByeRRyY3KU2z9YtY+FKJa9ScBIRkQLvxo0bjBgxgg8//BC4feHRO+9O5ZeY8uw/Fg9A94blGPd8TYo66/5ykjEFJxERKbAMw+DLL79k8ODBXL9+HSsrK3r7BeD81KsEH40E4ilb1ImpL9SlZbUSli5X8gEFJxERKZDOnj1Lv379WL9+PQC1a9fm7dHT+PK8E9eP3l7ouNeT3ozoUIMiDvo4lMzRO0VERAqUlJQUFixYwPjx44mLi8PBwYGhI4OIqNyBhYfCgUQqlXBhRndfGvt4PHR7IndTcBIRkQJjz549+Pn5sW/fPgBatWrFCwMm8d+DCUQeDcfG2oqAFpUY2EY35ZXsUXASEZF8LzY2lvHjxzN//nxMJhPFihVjzHtT2e/UgDk7wwGoVcaNmT18qVNWN+WV7FNwEhGRfG3dunX069eP8+fPA/DSSy/z1GtDWL7jBrFJ4djbWjOoTVX8W1TSTXnlkSk4iYhIvhQWFsaQIUP48ssvAfD29mbctLmsu1WaOVuvAfCYdzFmdPelSskilixVChAFJxERyVcMw+DDDz9k+PDh3Lx5E2trawYOHETZNm8wY/sVklJv4mJvw6hna/Da495YW+t2KWI+Ck4iIpJvnDhxgoCAADZt2gRAgwYNGDllLh+dsOaHP0MBaFW9BO93q0vZok4WrFQKKgUnERHJ85KSkpg1axaTJ08mMTERJycnxo2fSHKtDry79SImA4o52zGhU2261PfSTXklxyg4iYhInrZ9+3b8/f05dOgQAO3bt6fPqPdZuCuKC9suAtC5nhcTOtWieBEHS5YqhYCCk4iI5ElRUVG8++67LF26FMMw8PT0ZOrM2ZwsUp/h6y8BUMbdkfe71aF1jVIWrlYKCwUnERHJc1avXk3//v0JDb193tKbb77Js71HMHvzZa5F3w5Nrz1RgVEdauDqaGfJUqWQUXASEZE84/Lly/Tv358ffvgBgMqVKzN93iL+iCrJyDVnAajk6cL07r40qajbpUjuU3ASERGLM5lMrFixgtGjRxMVFYWtrS3Dhw+ndse3mfz7WSLjr2JjbUXflpUY0Fq3SxHLUXASERGLOnz4MP7+/mzbtg2AJk2a8N6shXx6Ar5ccwKAOmXdmNHdl9peul2KWJaCk4iIWERCQgJTp05l+vTpJCcnU6RIEaa8/z5Ovs8y+NfTxCen4mBrzdB21ejdrCK2ul2K5AEKTiIikus2b95MQEAAx48fB6BTp04MnTCDeX9HsP9/t2eZnqjkwbQXfKno6WLJUkXSUXASEZFcc/PmTUaOHMl///tfAEqXLs28BQsJLeqL3/enSU41cHWw5d2ONenZqLxulyJ5joKTiIjkOMMw+Oabbxg0aBBhYWEABAQE8FLgaN7/7Twn954CoF2tUkzuUofS7o6WLFckQwpOIiKSo86fP88777zD2rVrAahZsyYLFi/lr5gSvPXlYQwDPIvYM6lzHZ6rW1q3S5E8TcFJRERyRGpqKosWLWLs2LHExsZib2/PmDFjeOqFt5mw5gSht84B0L1hOcZ2rEkxF3vLFiySCQpOIiJidv/88w9+fn7s3r0bgObNmzNz3iK+OW3Q57P9AJQr5sTUbnVpUa2EJUsVyRIFJxERMZu4uDgmTZrEnDlzSE1Nxd3dnZkzZ1K6yXP0X3OU8JgkrKzgzad8GP5MdVwc9DEk+YvesSIiYhYbNmygb9++nD17+9YoL774Iu++N51Ff9/gt69uzzJVLVmEGT18aVihmCVLFck2BScREXkk169fZ+jQoXz22WcAlC9fnkWLFhNbuj6vfXGU6MQU7GysCGxVhcCnK+Ngq9ulSP6l4CQiItliGAaffvopQ4cO5caNG1hZWTFw4EB6Dx7NlPVn2bH9IAD1yxdlRndfqpd2tXDFIo9OwUlERLLs1KlT9O3bl99//x0AX19fli1fwYGkEvT47z4SU0w42dkwvH113nzKBxstZCkFhIKTiIhkWnJyMnPmzGHSpEkkJCTg6OjIxIkTaf9Sb8b+dJRDoccAaF7Vk6nd6lLew9nCFYuYl4KTiIhkys6dO/Hz8+PAgQMAtG3blgWLlrDmnInuK3aSajJwd7Jj3PO16N6wrBaylAJJwUlERB4oOjqasWPHsmjRIgzDoHjx4sybN49qTZ+j//cHORMeC0DHumWY0LkWJV11uxQpuKwtXYCIiORdP//8M7Vq1WLhwoUYhsHrr7/Orn0HOFakPj2D/+ZMeCwlXR1Y8fpjLHm1oUKTFHiacRIRkXtcuXKFQYMGsWrVKgAqVarE8uXLsS7nyyufHeJKZAIALzcpz+hna+LuZGfJckVyjWacREQkjclkIjg4mJo1a7Jq1SpsbGwYNWoUm7bv5udwT3p/vJsrkQl4F3fmC7/HmfaCr0KTFCqacRIREQCOHj2Kv78/f/75JwCNGjUiODiYc5Sg8/Jd3IxLxtoK+jSvxJC21XCy10KWUvgoOImIFHKJiYlMnz6dqVOnkpSUhIuLC1OmTOGF1/sw/qcjbDp++3YpNUq7MrOHL77lilq2YBELUnASESnE/vzzT/z9/Tl69CgAzz33HIsXL2HLFXh2wZ/EJqVib2PNoLZV8W9RCTsbneEhhZuCk4hIIXTr1i1Gjx7NihUrAChVqhQLFy6kQcsODP/+EHvO3wSgkXcxpnf3pUrJIpYsVyTP0J8OIiKFiGEYfPvtt9SsWTMtNPXp04cDhw4TVrwBHRf+xZ7zN3Gxt2Fyl9p8E/CkQpPIXTTjJCJSSFy8eJH+/fvz008/AVCtWjWCg4MpVrkeb3x2gGNXowF4unoJpnSrS9miTpYsVyRP0oyTiEgBl5qayqJFi6hVqxY//fQTdnZ2jBs3jr937eXPmBJ0XfIXx65GU8zZjgUv1eeDNxsrNIlkQDNOIiIF2IEDB/Dz82Pnzp0APPXUUwQHBxPpUIouy3dyISIOgC71vRj/fC2KF3GwZLkieZ6Ck4hIARQfH8/kyZOZNWsWKSkpuLm5MWPGDHq+/hbT1x3n6907ACjj7sj73erQukYpC1cskj8oOImIFDC///47AQEBnD59GoAXXniBRYsWcSDCmvbzt3ItOhGA15/wZmSH6rg6auVvkczKN8Hp6NGjLF68mCpVqnDy5En8/f2pX78+sbGxjBw5kmLFihETE8OMGTNwcLg91ZwTbSIiedWNGzcYNmwYH3/8MQBly5Zl8eLFPNWmAxN+PMy6Q1cBqOTpwvTuvjSp6GHJckXyJyOfeOyxx4xLly4ZhmEY58+fN2rUqGEYhmG8/vrrxvfff28YhmF8/PHHxpAhQ9JekxNtDxMZGWkARmRkZHZ2U0Qky0wmk/HZZ58Znp6eBmBYWVkZ/fv3N27dumV8veuCUXfC/wzvUWuMSkFrjZn/O2rEJ6VYumSRPCezn99WhmEYFs5umeLi4sKePXuoUaMG169fp169euzevZvKlStz8+ZNHB0duX79Ot7e3oSFhREdHW32NldX14fWGRUVhbu7O5GRkbi5ueXCyIhIYXbmzBn69evHhg0bAKhTpw4hISF4VfXl3R8O8uep8NvPl3VjRndfanu5W7JckTwrs5/f+WY5ghdffJE+ffoQHR3NZ599xqJFi9i0aROenp44OjoCUKJECezt7dm5c2eOtN1PYmIiUVFR6b5ERHJaSkoKs2bNok6dOmzYsAEHBwfef/99du7azaHkkrSfv4U/T4XjYGtN0LM1WB3YVKFJxAzyTXBavHgx9vb2NG7cmCJFitC9e3dCQ0Px8Eh/jN7V1ZXLly/nSNv9TJs2DXd397Sv8uXLm2FvRUQytnv3bho3bszIkSOJj4/n6aef5uDBg3R/ewAvrdzNlLVHiU9O5YlKHqwf3IKAlpWx1T3mRMwi35wcHhcXx0svvcT169cZMmQIVapUwcrKKm1m6I6kpCTs7OxypO1+goKCGDp0aNrjqKgohScRyRExMTGMHz+eBQsWYDKZKFasGHPmzOHl115n6aYzLNu0leRUA1cHW97tWJOejcpjbW1l6bJFCpR8E5xee+01vvzySzw8PDAMg549ezJv3jwiIyPT9YuJicHLywuTyWT2tvtxcHDQFXcikuN++eUXAgMDOX/+PACvvPIK8+bN42K8Hc8v+otT12IAaFerFJO71KG0u+ODNici2ZQv5m7Dw8M5cOBA2iG0MWPG4OrqSvny5bl06RJJSUkAaYfTmjRpQqtWrczeJiKS28LCwnj55Zfp2LEj58+fx8fHh3Xr1hH8wccs/fs6PZZv49S1GDyL2LPklYYEv/6YQpNIDsoXwcnDwwNHR0dCQ0PTPVe/fn06dOjA5s2bAdiwYQOBgYE4Ojri5eVl9jYRkdxiGAYrV66kRo0afPXVV1hbWzNs2DAOHTqEU6XHeGbeFj7adg7DgB6PleO3oS3p6FsGKysdmhPJSflmOYL9+/ezdOlSHnvsMcLCwmjRogUtW7YkPDyc0aNH4+PjQ0REBNOnT8fe3h4gR9oeRssRiMijOnHiBP7+/ml/wDVs2JCQkBAqVq/D5DVH+H7f7T8iyxVzYmq3urSoVsKS5YoUCJn9/M43wSm/UHASkexKSkpi5syZTJkyhcTERJydnZk8eTIDBgzgf0euM/Gnw9yITcLKCt58yofhz1THxSHfnKoqkqdl9vNb/+JERPKAbdu24efnx5EjRwDo0KEDS5cuxcmjDP2+2M9vR8MAqFqyCDN6+NKwQjFLlitSaOWLc5xERAqqyMhIAgMDadasGUeOHKFEiRJ88cUXrFmzlm3XrGk3dzO/HQ3DzsaKQW2qsmZgM4UmEQvSjJOIiIX88MMP9O/fP+3q3bfeeotZs2YRZTjyyn93sONsBAD1yxdlZg9fqpV6+G2fRCRnKTiJiOSy0NBQ+vfvz+rVqwGoUqUKK1asoEXLVoRsPcv8306QmGLCyc6G4e2r8+ZTPthoIUuRPEHBSUQkl5hMJpYvX87o0aOJjo7G1taWkSNHMnbsWE5HJNFlyV8cvnz7fpfNq3oytVtdyns4W7hqEbmbgpOISC44fPgwfn5+bN++HYDHH3+ckJAQqtaoxYLfTxK85QypJgN3JzvGPV+L7g3Lak0mkTwoWyeHnzt3jjFjxtC4cWOKFSuGra0tnp6etG7dmgULFhAdHW3uOkVE8qWEhATGjRtHgwYN2L59O66urixevJi//vqLOBcvnluwlWWbTpNqMuhYtwy/Dm1Bj8fKKTSJ5FFZmnFKSUnh3XffZe/evTRt2pQBAwZQokQJHBwcSEhI4MqVKxw+fJjOnTsTEBDASy+9lFN1i4jkeZs2bcLf35+TJ08C0LlzZ5YsWYK7ZynG/3SEz3dcAKCkqwOTu9ahfe3SlixXRDIh0wtgGobB2LFj6dq1K40bN35o/3Xr1hEbG0uPHj0eucj8RAtgikhERAQjR45k5cqVAJQpU4bFixfTrVs3/jh2jbGrD3ElMgGAl5uUZ/SzNXF3srNkySKFntlXDt+3bx+VKlXC3d0900UcPnwYHx8fXFxcMv2a/E7BSaTwMgyDr7/+mkGDBnHt2jUA+vXrx7Rp00i2cWTSz0f4ef/tpQe8izsz7YW6PFXZ05Ili8j/MfvK4Q0aNGDr1q00b94800XUrl07031FRPKzc+fOERgYyLp16wCoWbMmISEhPPXUU6z+J5T3ft7BzbhkrK3Ar3klBrethpO9jYWrFpGsytI5TgMHDqRz587Y2GT8j93FxYVhw4Y9cmEiIvlBSkoKixYtYuzYscTFxWFvb8/YsWMZOXIk1+NSeeujXWw6fh2AGqVdmdnDF99yRS1btIhkW5aCU+vWrXnjjTewtU3/skOHDtGnTx88PDxYtWqVWQsUEcmr9u3bh5+fH3v27AGgRYsWBAcHU7VqNT79+zwz/neMuKRU7G2sGdS2Kv4tKmFnoztdieRnWQpOQ4YMoVy5cumeW7lyJQMHDqRbt26sWLGiUJ3PJCKFU2xsLBMnTmTevHmkpqZStGhRZs2axdtvv82Z8Fj+s2I7e87fBKCRdzGmd/elSskiFq5aRMwhS8Hp7tAUExODn58fP/74I3PnzqVv375mL05EJK9Zv349/fr14+zZswD07NmT+fPn4+FZkiUbT7Poj1MkpZpwsbdh9LM1ePVxb6x1uxSRAiNbK4fv2bOHnj17YhgGf/75Jw0bNjR3XSIiecq1a9cYOnQon3/+OQAVKlRg6dKldOzYkf0Xb/Hm4j85dvX24r9PVy/BlG51KVvUyZIli0gOyPLB9vnz59O0aVN8fX3Zu3fvPaHpzkJvIiIFgWEYfPTRR9SsWZPPP/8ca2trBg8ezOHDh2ndrgPvrz1Ct6V/cexqNMWc7VjwUn0+eLOxQpNIAZWlGadOnTqxdu1aOnfuzODBg9m/f3+69uTkZD7++GM++eQTsxYpImIJp06dIiAggD/++AOAevXqERISQuPGjdl2KpzR3+/iQkQcAF3qezH++VoUL+JgyZJFJIdlKTht376dJUuW4OzsnHZ8/26pqamEhYWZrTgREUtITk5m9uzZvPfeeyQkJODk5MSkSZMYPHgwcckw6tsDfL37IgBl3B15v1sdWtcoZeGqRSQ3ZCk4TZo0iX79+j2wT/369R+lHhERi9qxYwd+fn4cPHgQgHbt2rFs2TIqV67M/w5dYdyPh7kenQjA6094M7JDdVwddbsUkcIiS+c4vfHGG2n/v2vXrvv2OXDgwKNVJCJiAdHR0QwcOJAnn3ySgwcP4unpyaeffsr69etxLVmWfp/toe9ne7kenUilEi6s6vskk7vWUWgSKWSyFJxcXV3T/n/FihX3tK9evZrBgwc/clEiIrnpp59+olatWixatAjDMHjjjTc4evQor776Kqt2X6LtnM2sO3QVG2sr3nm6Mr8MbE5jHw9Lly0iFpDtJWwvXrzIlClTAIiPjycgIIDXX3+dBg0amK04EZGcdOXKFXr06EGXLl24dOkSlSpV4tdff+Xjjz8mzsqZ11fuZOR3B4hKSKFOWTd+6t+UEe1r4Gine8yJFFbZWscJbi8Ct3XrVvr378+vv/5KiRIl2L9/P8WKFTNnfSIiZmcymQgJCWHUqFFERkZiY2PDiBEjGDduHA6OTvx36xnmbDhBfHIqDrbWDG1Xjd7NKmKr26WIFHqZDk5btmy57/PlypWjcuXKjBgxgosXL7Jo0SLmzZtntgJFRMzpyJEj+Pv789dffwHQuHFjQkJCqFevHseuRjHqw23sv3gLgCcqeTD9BV98PHUrKRG5zcowDCMzHZ944gmOHj1K0aJFsba+/19dhmFw9epVEhISzFpkfhIVFYW7uzuRkZG4ublZuhwR+T+JiYlMnTqVadOmkZycjIuLC++//z79+/cn2QRLN55i6abTpJgMXB1sebdjTV5qXB4rK90uRaQwyOznd6ZnnAIDA+nQoQMlS5Z8YL/vvvsu7f9jY2OxtrbGyUkr6IqI5WzduhU/Pz+OHz8OQMeOHVm6dCnly5dn/eGrTFl7lEs34wFoV6sUk7vUobS7oyVLFpE8KtMH7Nu2bcvatWsf2q979+4AREZG8tFHHyk0iYjF3Lp1i4CAAFq0aMHx48cpVaoU33zzDT///DPx9sV49b876PvZXi7djKe0myNLXmlI8OuPKTSJSIYyPePk5eVFw4YNeemll2jfvj0tW7akYsWK6aax4+PjOXbsGOvXr+f8+fM610lELMIwDL799lsGDhzI1atXAfDz82PGjBlYOxRh0s9H+PTv86SaDOxtrQloUYl+rSrjbJ/t62VEpJDI9DlOd8TExDBz5kxCQkK4efMm7u7u2NraEhcXR3R0NI899hgjR45Mm3kqbHSOk4hlXbx4kcDAQNasWQNA9erVCQ4Opmmz5ny58wJzNhznZlwyAO1rl2Jsx1qU93C2ZMkikgdk9vM7y8HpDsMwOHToECdPniQxMZHixYtTr149SpUq3PdrUnASsYzU1FSWLFnCmDFjiImJwc7OjnfffZegoCD+CY1h4s9HOHolCoBqpYowoVNtmlbxtHDVIpJXmP3k8H+zsrKibt261K1bN7ubEBExi/379+Pn55d2K6imTZsSHBxMUa+KDPvuMGsOXAHAzdGWoe2q8doT3lqTSUSyRQf0RSTfio+PZ9KkScyePZvU1FTc3NyYOXMmr7/5NiFbz7Hsy00kJJuwsoKXm1RgWLtqFC/iYOmyRSQfU3ASkXzpt99+o2/fvpw+fRqAHj16MH/+fA5EWNNu3lZCb91eXqCJjwcTOteitpe7JcsVkQIiS8EpJiaGIkWK5FQtIiIPFR4ezrBhw/jkk08AKFu2LEuXLqVak1YM/+kI28/cAKCMuyPvPleT533LaBFLETGbLB3kL1asGOHh4TlVi4hIhgzD4LPPPqNmzZp88sknWFlZMWDAALbt/ofdRiWeW7CV7WduYG9rzcDWVfh9WEs61fNSaBIRs8rSjFNqaiomkyntcdOmTfn+++8L/ZV0IpKzzpw5Q9++ffn1118BqFu3LstXBHPaqgydg/dy6/+WF3i2Tmnefa6mlhcQkRzzSOc4HThwgNjYWHPVIiKSTnJyMvPmzWPixInEx8fj4ODAhAkTaP7CW7y37gTHrh4CoHopVyZ0qsVTWl5ARHKYTg4XkTxp165d+Pn5sX//fgBat27NxJnz+ep4Mq99uAcAdyc7hrarxquPV9DyAiKSK7IcnL744gtatGiRtn6Tzh8QEXOKiYlh3LhxLFy4EJPJhIeHB9NnziamwlP4rT5DQrIJayt45fEKDG1XHQ8Xe0uXLCKFSJZWDm/RogX79+8nOjoaOzs7UlJS6NmzJ82bN6dhw4bUq1cPR8fCfXNMrRwukn1r164lMDCQCxcuAPDqq6/ybO9RLN1x/f8vL1DRg4mdalPLS/++RMR8cvSWKydPnmTPnj3s3buXPXv2sG/fPm7duoWtrS01atTgwIEDj1R8fqbgJJJ1V69eZdCgQXzzzTcA+Pj48O7UOfweXYa/z0QA4OXuyLsda9KxrpYXEBHzy9FbrlStWpWqVavy0ksvpT139uxZdu/ezb59+7KzSREphEwmEx988AEjRozg1q1b2NjYEDhgEE6P92Ta/uuYjAgcbK0JaFmZfi0r42RvY+mSRaSQy/ZNfuX+NOMkkjnHjh0jICCALVu2ANDwscfo2n8S312wS1te4Lm6t5cXKFdMywuISM7K8Zv8iohkR1JSEjNmzGDKlCkkJSXh7OxMn8FBHPV4ipXH4oFkapR2ZXynWjxVWcsLiEjeouAkIrnmr7/+wt/fnyNHjgDwdNtn8OrYnx+vWsP1eNyd7Bj2TDVeaaLlBUQkb1JwEpEcFxkZyejRo1m+fDkAJUuW5Jneo9lhVZ0zVw2sreDVx70Z2q4axbS8gIjkYWYNTvv27WPOnDnUr1+fbt26UblyZXNuHoBt27axfft2KleuTLNmzXBycmLkyJEUK1aMmJgYZsyYgYODAwCxsbFmbxORzDMMgx9++IH+/ftz5coVANp06Ulk3Z5sTbYHDJ6o5MGETrWpWUbnBIpI3mfWufDly5fz22+/MXz4cP7++2/i4uLMuXlWrlzJ2rVrGTZsGF27dsXT05N+/frRtm1bpkyZQsOGDQkKCkrrnxNtIpI5ly5dolu3bnTv3p0rV65Q1rsSjQLncarG61xPtqdsUSeWvtqQL/2eUGgSkXzDrFfVJScnc+3aNcqWLYvJZCImJsZsV5Zt2bKFyZMns2HDhrQ1XC5fvkzlypW5efMmjo6OXL9+HW9vb8LCwoiOjjZ7m6ur60Pr1FV1UtilpqayfPlygoKCiI6OxsbWlqrtXiWuVhesbO1xdbSlb8vKvN20opYXEJE8I8evqktISGDevHmkpKQwbtw4du3aRWhoKF27dgXA2trarMFh6NChPPnkk/Tv358zZ84wfvx4zp49i6enZ9pq5SVKlMDe3p6dO3cSFhZm9rY2bdrcU1diYiKJiYlpj6Oiosy2zyL5zcGDB/H39+fvv/8GoETlOti27Et8CR8cba15s6kP/VpWpqizzmMSkfwp24fq+vTpw6pVqzh79iwAjRs35vLly0ycONFctaU5ceIEe/fupXfv3ixZsoTWrVvTvn17Ll68iIeHR7q+rq6uXL58mdDQULO33c+0adNwd3dP+ypfvrwZ9lgkf0lISGDs2LE0bNiQv//+G3snFzye6YdT96k4larIy00qsHnE0wQ9W1OhSUTytWwHp8TERPbs2UO9evXSnqtatSpLliwxS2F3O3ToEB4eHtSvXx+AAQMGYDKZsLKyuufeeElJSdjZ2eVI2/0EBQURGRmZ9nXx4sVH3FuR/GXjxo34+vry/vvvk5KSgku1Jynx1hJcG3Tk+Xpl+XVIC6a9UJfS7oX7PpYiUjBk+1Bd7dq1sbKySjvfKCkpidmzZ1O6dGmzFXdHSkoKKSkpaY8dHR2pWrUqycnJREZGpusbExODl5cXJpPJ7G334+DgoCvupFC6ceMGI0aM4MMPPwTA1rU4xdoG4FztKZpX9WRk+xrULedu4SpFRMwr28GpY8eOvPTSS9y8eZMjR46wdu1aoqOj+emnn8xZHwC+vr5ERkYSHh6Op+ftlYRtbW2pWLEily5dIikpCXt7+7TDaU2aNKFKlSr4+/ubtU1Ebi8x8NVXXzFo0CCuX78OVlYUqf8cxVq+QYMqZRnVvjpPVdGK3yJSMGX7UF3jxo0JDg7mzTffpFKlSrz//vucPn2aFi1amLM+AGrUqEGHDh1YtWoVALdu3SIhIYH//Oc/dOjQgc2bNwOwYcMGAgMDcXR0xMvLy+xtIoXduXPnePbZZ3nllVe4fv06dp4VKPXKTB5/bQTBvVuwOvAphSYRKdCyvRzBjRs3CA4OZsiQITg6OrJt2zbi4uJo27atuWsEIDw8nIEDB9KoUSMuXLiAn58ftWvXJjw8nNGjR+Pj40NERATTp0/H3t4+7TXmbnsYLUcgBVFKSgrz589n7LjxJCbEg40t7k+9RI12rzL02dq80KCsbpEiIvlaZj+/sx2c2rVrx82bN1m/fj3FixcHYO7cuVhbWzN48OBsFV0QKDhJQbN3715efuMtThw+AIBD+TpU7DqYYf95mtee8MbRTmsxiUj+l9nP72z/iVi/fn12796dFpoAnnrqKaZNm5bdTYpIHhIbG0uvgAE0atSYE4cPYO1YhDKdBvP+f79l58w36NO8kkKTiBQ62T453M7OjuTk5LTL9OPj45k+fXq6ICUi+dMHX/3AoAHvEBN++/5yRWq1IGDUe4x+4Qk8i+gqUhEpvLIdnF5//XWaNm2Kj48PiYmJ/Pnnn6SmpvLjjz+asz4RyUUHTp7npbcDOfrnLwDYuJWgU+B4Fo54m/IezhauTkTE8h7pXnVxcXH8/PPPnD9/Hi8vLzp27EixYsXMWV++o3OcJD+KiEmkz9jZ/LhiOqaEGLCyps4zL/Hxktk0rFzG0uWJiOS4HL9X3fTp02nRogU9e/bM7iZExMJiE1OY/tVG5k0cQey5/QAULV+VhUuW83qn1hauTkQk78n2yeEhISH3vUT/2rVrj1SQiOS8pBQTKzefoNrz/kzp3ZHYc/uxtnOg74gJXDt9WKFJRCQD2Z5xGjNmDF999RWxsbFpt11JTU3lv//9L59//rnZChQR80k1Gfy0P5SJ/13N0W9mkxx+HoD6T7bk208/oHLlShauUEQkb8t2cFq+fDknT57k22+/TQtOAFevXjVLYSJiPoZh8Mexa0z7cS87Vy0heu8vgIFrUQ8WLZzPG6+9lu7fsYiI3F+2g9Pw4cN59tlncXV1Tff8999//8hFiYj57Dwbwcz/HWPLb+uI2LCM1JgbALz2Ri/mz52jJURERLLgka+qW716NaGhodSsWZP27dunretUWOmqOskrjlyOYtb6Y/y6+xg3f1tB3IltAFSsVJmQ4BW0adPGwhWKiOQdOX7LlT179tCxY0eSkpLw9vbGMAxMJhOrVq2ievXq2S48v1NwEks7fyOWub+e4Md/LhG973/c3PwRRmIctra2jBgxgnHjxuHk5GTpMkVE8pQcX45gxIgRLF68mBdeeAFr69sX5926dYvx48ezcOHC7G5WRLLpWnQCi34/xZc7LxAXdo6I9YtJDD0KQJMmTQgJCcHX19fCVYqI5G/ZDk5PPPEEPXr0SPdc0aJFcXR0fOSiRCTzIuOTCd5ymg/+PEdcfDyR278hese3mFJTKFKkCFOnTiUwMBAbG91XTkTkUWU7OMXExBATE0ORIkUASElJYdWqVfz9999mK05EMpaQnMrH286xdNNpIuOTSbh4iNjflxITdgGATp06sWTJEsqXL2/hSkVECo5sB6eAgAAef/xxXFxcSE5O5uzZs7i4uPDzzz+bsz4R+ZeUVBOr9lxiwW8nuRqVQGpCDKa/PyVsx1oASpcuzaJFi+jevbuWGBARMbMsBaeoqCgA3NzcqF27Nnv27OGXX37h5MmTVKhQga5du+qkU5EcYjIZrDt0lTkbjnMmPBbDMHC8uJOwDcuJvHEduP0HzfTp0ylatKhlixURKaCyFJxKlSrF8uXLee2117CxscHR0ZEXXnghp2oTEW4vXrn1ZDgz1x/jUOjtP16KJN/CZvtKDmzfCECNGjUIDg6mefPmlixVRKTAy9K96l555RV69eqFjY0NISEhlClThoULF3L58uWcqk+kUNt34SavhOzgjQ92cig0CmdbaBC1jXMrAjiwfSP29vZMnDiRf/75R6FJRCQXZGnG6e4Vhv38/Ni8eTMDBw5M1yc5ObnQL4Ip8qhOXYtm1vrjrD8cBoC9jTVtSsbx9yfTWL13DwDNmjUjODiYmjVrWrJUEZFCJdsnhwP3XSDqiy++oFevXo+yWZFCK/RWPPN/PcF3ey9hMsDaCjrVLk7yrm8InrGQ1NRU3N3dmTlzJn369ElbQ01ERHJHllYOL1++PBUrVkx7fPr0aSpXrpz2ODU1lYMHD6adRF4YaeVwyY6I2CSWbDzFp9vPk5RqAqB97VI86RDK5KChnDlzBoD//Oc/LFiwgDJlyliyXBGRAidHVg739PSkVatWaQvp/fteVykpKcTHx2ejXJHCKSYxhZVbzxKy9QwxiSkAPFHJA7/Gnnw8bzJvffopAOXKlWPp0qV06tTJkuWKiBR6WQpOc+fO5emnn35gn3bt2j1SQSKFQWJKKl/suMDiP05xIzYJgNpeboxsX51zf6+jZ7tO3LhxAysrKwYMGMCUKVNwdXW1cNUiIpLtm/zK/elQnTxIqslg9b5Q5v56gtBbt2dnK3q6MOyZalR3iiMwsB+//fYbAL6+voSEhNCkSRNLliwiUijk+E1+RSTzDMPgt6PXmLX+GCfCYgAo5ebAoDbV6FqvFIsWzOc/EyeSkJCAo6MjEydOZOjQobpCVUQkj1FwEslhO87cYMb/jrH3wi0A3BxtCXy6Cr2e9OHgP3t48vFOHDhwALh93uDy5cupUqWKBSsWEZGMKDiJ5JDDlyOZtf44m47fvh2Ko501bzetSECLylinJhA0chgLFy7EMAyKFy/O3Llzef3113V/ORGRPEzBScTMzoXHMvfXE/y0//aK+rbWVrzUpDwDW1elpJsja9asITAwkIsXLwLw+uuvM2fOHEqUKGHJskVEJBMUnETM5FpUAgv/OMlXOy+SYrp9zUXnel4MbVcNH08Xrly5wot9BrFq1SoAKlasyPLly3nmmWcsWbaIiGSBgpPII4qMT2bF5tN88NdZEpJvL17ZqnoJRrSvTm0vd0wmEyEhIYwYMYLIyEhsbGwYNmwYEyZMwNnZ2cLVi4hIVig4iWRTfFIqH207x7JNp4hKuL14ZcMKRRnZoQZPVLp9X8djx47h7+/P1q1bAWjUqBEhISHUr1/fUmWLiMgjUHASyaLkVBPf7L7Igt9Oci06EYBqpYowon0N2tYsiZWVFYmJiUyfPp2pU6eSlJSEi4sLU6ZMYcCAAWkr74uISP6j4CSSSSaTwdqDV5iz4TjnbsQBUK6YE0PbVaNL/bLYWN++Gu7PP//E39+fo0ePAvDcc8+xdOlSvL29LVa7iIiYh4KTyEMYhsGWk+HM/N8xDl++fQPr4i72DGhdhZcfr4CD7e0ZpFu3bjF69GhWrFgBQMmSJVm4cCEvvviilhgQESkgFJxEHmDvhZvM/N8x/j4TAUARB1v8W1Ti7WYVKeJw+5+PYRh89913DBgwgKtXrwLQp08fZsyYgYeHh8VqFxER81NwErmPE2HRzF5/nA1HwgCwt7XmjSe8CXy6Ch4u9mn9Ll68SP/+/fnpp58AqFatGitWrKBVq1aWKFtERHKYgpPIXS7djGP+byf5fu8lTAZYW0GPx8oxqG01yhZ1SuuXmprKsmXLCAoKIiYmBjs7O0aPHs27776Lo6OjBfdARERykoKTCHAjJpElG0/z2d/nSUq9vRZTh9qlGd6+GlVKuqbre/DgQfz8/NixYwcATz31FMHBwdSuXTvX6xYRkdyl4CSFWkxiCv/deoaQLWeITUoF4MlKxRn1bA3qly+arm98fDyTJ09m1qxZpKSk4ObmxvTp0wkICMDa2toC1YuISG5TcJJCKTEllc/+vsCSjaeIiE0CoG5Zd0Z2qE6zKp73XAX3xx9/EBAQwKlTpwB44YUXWLhwIWXLls312kVExHIUnKRQSTUZfL/3EvN/O0norXgAKnm6MLx9dZ6tU/qewHTjxg2GDx/ORx99BEDZsmVZvHgxXbt2zeXKRUQkL1BwkkLBMAw2HAlj9vrjnLwWA0BpN0cGt61Kj8fKYWtjfU//L774gsGDBxMeHo6VlRWBgYFMnToVNzc3S+yCiIjkAQpOUuBtP32DGf87xj8XbwHg7mTHO09X5o0nfXC0u/f2J2fPnqVfv36sX78egNq1axMSEsKTTz6Zm2WLiEgepOAkBdah0Ehmrj/OlhPXAXCys6F3s4r4taiEu5PdPf1TUlKYP38+48ePJz4+HgcHB8aNG8eIESOwt7e/p7+IiBQ+Ck5S4JwNj2XOhuOsOXAFAFtrK155vAL9W1ehpOv911jas2cPfn5+7Nu3D4BWrVqxYsUKqlWrlmt1i4hI3qfgJAVGWFQCC34/yde7LpJqMrCygi71vBjSrhrexV3u+5qYmBgmTJjA/PnzMZlMFCtWjDlz5vDmm2/q/nIiInIPBSfJ9yLjklm2+TQfbTtLQvLtxStb1yjJ8GeqU8sr4xO5161bR79+/Th//jwAL7/8MvPnz6dkyZK5UreIiOQ/Ck6Sb8UlpfDhX+dYvvk00QkpADTyLsbIDjVoUjHjm+uGhYUxePBgvvrqKwC8vb1ZtmwZzz77bK7ULSIi+Ve+Ck5JSUk0btyYBQsW0KpVK2JjYxk5ciTFihUjJiaGGTNm4ODgAJAjbZI3JKea+GrXRRb+fpLr0YkA1CjtysgO1Xm6eskMD7EZhsGHH37I8OHDuXnzJtbW1gwZMoRJkybh4nL/Q3kiIiJ3y1f3iZg5cybnzp1Le9yvXz/atm3LlClTaNiwIUFBQTnaJpZlMhn8+E8obeduZtzqQ1yPTqS8hxPze9Zn7cDmtK5RKsPQdOLECVq3bk3v3r25efMmDRo0YOfOncyePVuhSUREMs3KMAzD0kVkxl9//cWJEyeYNGkSH330EdWqVaNy5crcvHkTR0dHrl+/jre3N2FhYURHR5u9zdXV9eFFAlFRUbi7uxMZGamFEs3EMAw2nbjOzP8d5+iVKAA8i9gzsE1VXmpcAXvbjPN/UlISM2fOZMqUKSQmJuLs7Mx7773HoEGDsLXNVxOuIiKSgzL7+Z0vPjliYmL47rvvmDt3LpMmTQJg06ZNeHp64uh4+/LyEiVKYG9vz86dOwkLCzN7W5s2be5bW2JiIomJiWmPo6KicmwcCqM95yOY8b/j7DwbAYCrgy0BLSvxVtOKuDg8+O27fft2/Pz8OHz4MADt27dn2bJlVKxYMcfrFhGRgilfBKcZM2YwevTodM+Fhobi4ZH+BGBXV1cuX77M1atXzd6WkWnTpqWFOTGf41ejmbX+OL8dDQPA3taaN5/yoV/LyhRzefBilJGRkbz77rssW7YMwzAoUaIE8+fP5+WXX9YSAyIi8kjyfHBat24djz/++D2XiFtZWaXNDN2RlJSEnZ1djrRlJCgoiKFDh6Y9joqKonz58lnaR/n/LkbEMe+3E/ywLxTDAGsreLFReQa2qYpXUaeHvn716tW88847aWH3rbfeYtasWRQvXjynSxcRkUIgzwenOXPmsHv37rTHUVFRPP/887z77rtERkam6xsTE4OXlxcmk8nsbRlxcHDQVXdmEB6TyOI/TvH5jvMkp94+7e65uqUZ2q46VUoWeejrQ0NDGTBgAD/88AMAVapUYcWKFbRu3TpH6xYRkcIlz58cfvXqVRISEtIeN2vWjNmzZ9OiRQuqVatGREQE9vb2XL58mapVq3Ljxg0iIiLM3vbvmaiM6OTwrIlOSCZk61n+u/UMcUmpADSr4smI9tWpV77oQ19vMplYvnw5o0ePJjo6GltbW0aOHMnYsWNxcnr4DJWIiAgUoJPDS5cune6xra0tpUuXxsvLiw4dOrB582batWvHhg0bCAwMxNHRMUfaxLwSklP57O/zLNl4iptxyQD4lnNnZPsaNKvqmaltHD58GD8/P7Zv3w7A448/TkhICHXr1s2xukVEpHDL8zNO/+bj48NHH31Eq1atCA8PZ/To0fj4+BAREcH06dPT7mKfE22ZoRmnB0tJNfH9vlDm/3qCy5G3ZxIrlXBhxDPV6VCndKZO3k5ISOD9999nxowZJCcnU6RIEaZNm0a/fv2wsbHJ6V0QEZECKLOf3/kuOOV1Ck73ZxgG6w+HMXvDcU5diwGgjLsjg9tWpXvDctjaZG4t1s2bN+Pv78+JEycA6Ny5M4sXL9YJ+SIi8kgKzKE6yf+2nQ5nxv+Os//iLQCKOtvxTqsqvP6kN452mZshioiIYOTIkaxcuRKAMmXKsGjRIl544QUtMSAiIrlGwUlyzMFLkcxcf4ytJ8MBcLa3oXezivi1qISbY8ZLPNzNMAy++eYbBg4cyLVr1wDo27cv06ZNo2jRojlVuoiIyH0pOInZnb4ew9wNJ1h78AoAdjZWvPq4N+88XYUSrplfuuH8+fMEBgbyyy+/AFCzZk2Cg4Np1qxZjtQtIiLyMApOYjZXIuNZ+PtJvtl9iVSTgZUVdKtfliHtqlHewznT20lJSWHRokWMHTuWuLg47O3tGTNmDKNGjdKaWSIiYlEKTvLIYhNTWPTHKT786yyJKSYA2tYsyfD21alROmsnyO/btw8/Pz/27NkDQPPmzQkODqZGjRpmr1tERCSrFJwk225fKXeVST8f4cr/LS3Q2KcYozrUoJGPx0NenV5cXBwTJ05k7ty5pKamUrRoUWbNmsXbb7+NtXXmrrgTERHJaQpOki0XI+IY/+MhNh6/DkB5DycmPF+bNjVLZvkqtw0bNtC3b1/Onj0LwIsvvsiCBQvuWfxURETE0hScJEuSUkyEbD3Dwt9Pkphiws7GioAWlXnn6So42Wdt8cnr168zdOhQPvvsMwDKly/P0qVLef7553OidBERkUem4CSZtu10OONWH+L09VgAnqxUnMld62TqJrx3MwyDTz75hKFDhxIREYG1tTUDBw5k8uTJFCmStW2JiIjkJgUneajr0YlM/eUoP+wLBcCziD1jO9aiS32vLB+WO3XqFAEBAfzxxx8A1KtXj5CQEBo3bmz2ukVERMxNwUkylGoy+GLnBWb+7xjRCSlYWcFrj3szvH113J0yt4DlHcnJycyZM4dJkyaRkJCAo6MjkyZNYsiQIdjZZW1bIiIilqLgJPd1KDSSMT8cZP+lSADqlnVnStc61CtfNMvb2rFjB35+fhw8eBCAtm3bsnz5cipXrmzOkkVERHKcgpOkE5WQzNwNJ/hk+zlMBrg62DK8fXVee8IbG+usHZaLjo5mzJgxLF68GMMwKF68OPPmzeO1117T/eVERCRfUnAS4PYJ2z8fuMKUNUe4Fp0IQOd6XoztWJOSbo5Z3t7PP/9MYGAgly5dAuCNN95gzpw5eHp6mrVuERGR3KTgJJwNj2Xc6kP8eer2zXgrerowuUsdmlXNesi5cuUKAwcO5NtvvwWgUqVKrFixgrZt25q1ZhEREUtQcCrEEpJTWbrpNMs3nSYp1YS9rTX9n66Cf4tKONplbU0mk8lESEgIo0aNIjIyEhsbG4YPH8748eNxds78fepERETyMgWnQmrLieuM//EQ527EAdCyWgne61Ib7+IuWd7W0aNH8ff3588//wSgcePGhISEUK9ePbPWLCIiYmkKToXM1cgEJq89wtoDVwAo5ebA+Odr81zd0lk+YTsxMZFp06YxdepUkpOTcXFx4f3336d///7Y2GRtxkpERCQ/UHAqJFJSTXyy/Txzfz1BTGIK1lbw5lMVGdKuKq6OWV9HaevWrfj7+3Ps2DEAOnbsyNKlS6lQoYK5SxcREckzFJwKgX0XbjLmh0McuRIFQP3yRXm/Wx1qe7lneVu3bt1i1KhRBAcHA1CqVCkWLVpEjx49tMSAiIgUeApOBVhkXDIz1h/jy50XMAxwd7JjVIcavNS4PNZZXJPJMAy+/fZbBg4cyNWrVwHw8/NjxowZFCtWLCfKFxERyXMUnAogwzD4fm8oU385yo3YJAC6NyxH0HM18CzikOXtXbx4kcDAQNasWQNA9erVCQ4OpkWLFmatW0REJK9TcCpgToZFM3b1IXacjQCgaskiTOlah8crFc/ytlJTU1myZAljxowhJiYGOzs7goKCCAoKwtEx64tiioiI5HcKTgVEfFIqC/84SciWM6SYDBztrBnYpip9mlXC3tY6y9s7cOAAfn5+7Ny5E4CmTZsSHBxMrVq1zF26iIhIvqHgVAD8fjSM8T8eJvRWPABta5ZkQqfalPfI+sKT8fHxvPfee8yePZuUlBTc3NyYMWMG/v7+WFtnPYCJiIgUJApO+VjorXgm/XSYDUfCAChb1IkJnWrxTO3S2dreb7/9Rt++fTl9+jQA3bt3Z+HChXh5eZmtZhERkfxMwSkfSk41sfLPsyz47STxyanYWlvRu3lFBrWpirN91n+k4eHhDB8+nI8//hiAsmXLsmTJErp06WLu0kVERPI1Bad8Zte5CMb+cIjjYdEANPHxYHLXOlQv7ZrlbRmGweeff86QIUMIDw/HysqKd955h/fffx83Nzdzly4iIpLvKTjlExGxSUz75Sir9lwCwMPFnqBna9DjsXLZWnjyzJkz9OvXjw0bNgBQp04dQkJCeOKJJ8xat4iISEGi4JTHmUwG3+y+yPT/HeNWXDIALzcpz8j2NSjmYp/l7aWkpDBv3jwmTJhAfHw8Dg4OTJgwgeHDh2Nnl/Vbr4iIiBQmCk552NErUYz54SB7L9wCoEZpV97vVpfHvLO3Uvfu3bvx8/Pjn3/+AaB169YsX76cqlWrmqliERGRgk3BKQ9KSTUxc/1xVv55llSTgYu9DUPaVePNp3ywtcn6kgAxMTGMGzeOhQsXYjKZ8PDwYM6cOfTq1Uv3lxMREckCBac8aNmm0wRvOQPAc3VLM+75WpRxd8rWtn755Rf69evHhQsXAHj11VeZO3cuJUuWNFu9IiIihYWCUx5z5noMizaeAmBqt7q88niFbG3n6tWrDB48mK+//hoAHx8fli1bRocOHcxWq4iISGGjpaDzEMMwGPPDIZJSTDSv6snLTcpnaxsrV66kZs2afP3111hbWzN8+HAOHTqk0CQiIvKINOOUh3y75xLbz9zA0c6a97vWzfL5R8ePHycgIIDNmzcD0LBhQ0JCQmjYsGFOlCsiIlLoaMYpj7gRk8j7vxwFYHDbalQonvn7zCUlJTF58mR8fX3ZvHkzzs7OzJkzhx07dig0iYiImJFmnPKIKWuPcisumZpl3OjdrGKmX7dt2zb8/Pw4cuQIAB06dGDZsmX4+PjkUKUiIiKFl2ac8oCtJ6/zw75QrKxg2gt1scvEkgORkZEEBgbStGlTjhw5QsmSJfnyyy/55ZdfFJpERERyiGacLCw+KZUxPxwCoNeTPtQvX/Shr/n+++/p378/V65cAeDtt99m1qxZeHh45GSpIiIihZ6Ck4Ut/OMkFyLiKOPuyPD21R/Y99KlSwwYMIDVq1cDULVqVVasWMHTTz+dC5WKiIiIDtVZ0NErUYT830KXkzrXpojD/XNsamoqS5YsoVatWqxevRpbW1vGjh3LgQMHFJpERERykWacLCTVZBD0/UFSTAYdapfmmdql79vv4MGD+Pv78/fffwPwxBNPEBISQp06dXKzXBEREUEzThbzxc4L/HPxFkUcbJnYufY97QkJCYwdO5aGDRvy999/4+rqyuLFi/nzzz8VmkRERCxEM04W8sWO2/eOG9quGqXdHdO1bdy4kYCAAE6ePAlAly5dWLx4MeXKlcv1OkVEROT/04yTBUTGJ3PsahQAz/uWSXs+IiKC3r1707p1a06ePEmZMmX4/vvvWb16tUKTiIhIHqDgZAF7L9zEMMC7uDMl3RwxDIMvv/ySmjVr8sEHHwDQr18/jh49Srdu3SxcrYiIiNyRLw7Vff/99wwbNoyoqChee+015syZg62tLbGxsYwcOZJixYoRExPDjBkzcHBwAMiRNnPZdTYCgMY+Hpw7d47AwEDWrVsHQK1atQgODqZp06Zm/Z4iIiLy6PL8jNOFCxdYvXo13377LQsWLGDlypXMnz8fuD0r07ZtW6ZMmULDhg0JCgpKe11OtJnLrnMRGKZUrv31HbVr12bdunXY29szefJk9u3bp9AkIiKSR1kZhmFYuogH2bp1K08++SS2trcnx0aNGsWhQ4cICQmhcuXK3Lx5E0dHR65fv463tzdhYWFER0ebvc3V1TVT9UZFReHu7k5kZCRubm73tCelmKgSsISwtQtICjsNQIsWLQgODqZ69QcvgCkiIiI542Gf33fk+UN1zZs3T/fYy8uLqKgoNm3ahKenJ46Ot69IK1GiBPb29uzcuZOwsDCzt7Vp0+a+9SUmJpKYmJj2OCoqKsN9iY2NZeCId7n44WIwTBQtWpTZs2fz1ltvYW2d5yf/RERECr1892m9a9cu+vXrR2ho6D33ZnN1deXy5cs50paRadOm4e7unvZVvnz5+/Zbv349derU4YNlC8Ew4dWwNUePHqV3794KTSIiIvlEvvrEPnnyJKVKlcLX1xcrK6u0maE7kpKSsLOzy5G2jAQFBREZGZn2dfHixXTtGzdupGvXrnTo0IFz585RrKQXJXpMoOfIOZQuff/VwkVERCRvyvOH6u5ISUkhODiYadOmAbcP2UVGRqbrExMTg5eXFyaTyextGXFwcMjwqrv9+/fTunVrAKytrRk0aBBJ9Xqw5uhNKpcskrkdFxERkTwj38w4zZo1ixEjRmBvbw9Aq1atuHTpEklJSQBph9OaNGmSI23ZcXfg2rJlC3PnzuVitAmAyiVcsrVNERERsZx8EZymTJnCY489RlxcHGfOnOGDDz4gLi6ODh06sHnzZgA2bNhAYGAgjo6OeHl5mb0tO+7MXrm4uNC0aVMMw+D09VgAKpfQjJOIiEh+k+eXI5g8eTLjx49P91yNGjU4evQo4eHhjB49Gh8fHyIiIpg+fXrajFROtGXG3ZczHjlyhCeffBJvb2/OnTtHWFQCj0/9HRtrK4681x4HWxszjZKIiIg8iswuR5Dng1N+c/fAb9myhU6dOvHYY4+xe/dutp0K55X/7qCipwsbh7eydKkiIiLyfzIbnPLFobr86saNGwB4enoCcPp6DACVPHV+k4iISH6k4JSDwsPDgbuD0/+d36Qr6kRERPIlBaccdCc4FS9eHPj/M066ok5ERCR/UnDKQf8+VHdGV9SJiIjkawpOOejuQ3VxSSmE3ooHFJxERETyKwWnHHT3obo7s00eLvYUc8n88gYiIiKSdyg45aC7D9Xp/CYREZH8T8EpB919qO7OFXWVPHWYTkREJL9ScMohhmGkzTjdPlT3fzNOJTXjJCIikl8pOOWQyMhIUlNTgdvBSfeoExERyf8UnHLIndmmIkWKYG/v8P9nnBScRERE8i0FpxwSEREB3J5tCr0VT2KKCXsba8oVc7JwZSIiIpJdCk455E5wuvuKOh9PZ2xtNOQiIiL5lT7Fc0j6pQh0fpOIiEhBoOCUQ+53RV0lreEkIiKSryk45ZD7HarTjJOIiEj+puCUQ3SoTkREpOBRcMohd4KTs2tRrkcnAjpUJyIikt8pOOWQO4fqUuxvh6VSbg64OtpZsiQRERF5RApOOeTOjFOc9e3gpMN0IiIi+Z+CUw65E5xumRwABScREZGCQMEph9w5VHcj2R6Ayjq/SUREJN9TcMohJpMJgNAEWwAqacZJREQk31NwykEuLi5cikoBoHJJBScREZH8TsEpBxX1KE5yqoGTnQ1l3BwtXY6IiIg8IgWnHOTsVhS4vX6TtbWVZYsRERGRR6bglINsnd0AXVEnIiJSUCg45SQHV0DBSUREpKBQcMpBSba3A1PlklqKQEREpCBQcMpBMdw+IbySp2acRERECgIFpxyUbFcEKyuo6KkZJxERkYJAwSkHWTu5UbaoE072NpYuRURERMxAwSkHWTu56sRwERGRAkTBKQfZOLspOImIiBQgCk45yNrJTVfUiYiIFCAKTjnIxkkzTiIiIgWJglNOsXXAytaeSiU04yQiIlJQKDjlEGsnV1wdbSlRxMHSpYiIiIiZKDjlEBtHVyqVKIKVlW7uKyIiUlAoOOWQ20sR6DCdiIhIQaLglEO0hpOIiEjBo+CUQ2w04yQiIlLgKDjlEGtHNyppxklERKRAUXDKITbOrngXd7Z0GSIiImJGtpYuoKDycHclJTGBlMT0z9vY2ODo6Jj2ODY2NsNtWFtb4+TklK2+cXFxGIZx375WVlY4Oztnq298fDwmkynDOlxcXLLVNyEhgdTUVLP0dXZ2TruaMTExkZSUFLP0dXJywtr69t8aSUlJJCcnm6Wvo6MjNjY2We6bnJxMUlJShn0dHBywtbXNct+UlBQSExMz7Gtvb4+dnV2W+6amppKQkJBhXzs7O+zt7bPc12QyER8fb5a+tra2ODjcXkLEMAzi4uLM0jcr/+71O+L+ffU7Qr8j7v63bFGGmFVkZKQBZPj13HPPpevv7OycYd+WLVum6+vp6Zlh30aNGqXr6+3tnWHfWrVqpetbq1atDPt6e3un69uoUaMM+3p6eqbr27Jlywz7Ojs7p+v73HPPPXDc7tajR48H9o2JiUnr26tXrwf2vXbtWlrfwMDAB/Y9e/ZsWt/hw4c/sO+hQ4fS+k6YMOGBfXfu3JnWd+bMmQ/su3HjxrS+ixcvfmDfNWvWpPX98MMPH9j3m2++Sev7zTffPLDvhx9+mNZ3zZo1D+y7ePHitL4bN258YN+ZM2em9d25c+cD+06YMCGt76FDhx7Yd/jw4Wl9z549+8C+gYGBaX2vXbv2wL69evVK6xsTE/PAvj169Ej3Hn5QX/2OuP2l3xH//0u/I25/3f07Iifc+fyOjIx8YD8dqhMRERHJJCvDyGD+tZCLjY1l5MiRFCtWjJiYGGbMmJE2Lf8gUVFRuLu7M/mjNQzp0eqedk3D37+vpuE1Da9DdVnvq98R2eur3xG35effETnhzud3ZGQkbm5uGfZTcMrAG2+8Qbdu3ejWrRuffPIJ//zzD3Pnzn3o6+4M/JodR+jYpGYuVCoiIiKPSsHpEVy+fJnKlStz8+ZNHB0duX79Ot7e3oSFheHq6vrA194Z+FOXwqhctmQuVSwiIiKPIrPBSVfV3cemTZvw9PRMmy4vUaIE9vb27Ny5kzZt2qTrm5iYmG4aMjIyEgB7UyJRUVG5V7SIiIhk253P7IfNJyk43UdoaCgeHh7pnnN1deXy5cv39J02bRqTJk265/kKFSrkWH0iIiKSM6Kjo3F3d8+wXcHpPqysrNKdnAm3T8i7cwLb3YKCghg6dGja41u3buHt7c2FCxceOPBiXlFRUZQvX56LFy8+cIpVzE9jbxkad8vR2FtGTo+7YRhER0fj5eX1wH4KTvfh5eWVdsjtjpiYmPsOpoODw32vtnN3d9c/KAtwc3PTuFuIxt4yNO6Wo7G3jJwc98xMeGgdp/to1aoVly5dSrs0884huiZNmliyLBEREbEwBaf78PLyokOHDmzevBmADRs2EBgYeM/hOxERESlcdKguA8uXL2f06NHs2LGDiIgIpk+fnqnXOTg4MGHChEwtlinmo3G3HI29ZWjcLUdjbxl5Zdy1jpOIiIhIJulQnYiIiEgmKTiJiIiIZJKCk4iIiEgmKTiJiIiIZJKuqsuk2NhYRo4cSbFixYiJiWHGjBn3PbP/p59+4vfffycxMZEePXrQtm3bTLVJxh517CMjI+nTpw/r16+ncuXKLFu2jCeeeCK3dyPfMcd7/o6vvvqK5cuXs2nTplyoPH8z17jHxcWxYsUKihcvTrVq1fSezwRzjP3UqVMxmUxYW1sTFxfH5MmTsbKyys3dyHcyO+7h4eHMnDmT2NhYlixZkq4tVz9fDcmU119/3fj+++8NwzCMjz/+2BgyZMg9fY4ePWo0btzYMJlMRmpqqtGgQQPj0qVLD22TB3vUsQ8KCjK++OILY/fu3UanTp2MkiVLGjExMbm6D/nRo477HaGhoUadOnWMli1b5kbZ+Z45xv3GjRvGc889Z5w5cybX6i4IHnXsf/75Z6NPnz5pfd966y3jq6++yp3i87HMjLthGMaePXuMzp07G7169Ur3fG5/vio4ZUJoaKjh6OhoxMfHG4ZhGNeuXTOcnJyMqKiodP0CAgKMcePGpT0ODAw0xowZ89A2yZg5xv73339Pez4yMtKws7Mzdu7cmQvV51/mGPc7BgwYYCxZskTBKRPMNe7t2rUzNm7cmCs1FxTmGPuZM2caPXv2TNe2YsWKXKg+/8rsuN8xbty4e4JTbn++6hynTNi0aROenp5pK4eXKFECe3t7du7cma7fH3/8gbe3d9rjqlWrpq0+/qA2yZg5xr5169Zpz9+5x1G5cuVyofr8yxzjDhASEsJrr72Gs7Nz7hSez5lj3NesWcPJkyfZuXMnzz33HEFBQSQnJ+feTuRT5hj7zp0789NPP/Htt99y8+ZNwsPDef3113NvJ/KhzI77HdbW98aW3P581TlOmRAaGoqHh0e651xdXdPuYZdRv7v7PKhNMmaOsb/biRMnaNWqFWXKlMmZggsIc4z7qVOniIqKokmTJhw5ciTniy4AzDHun3/+OY8//jiDBw+md+/eNGjQAMMwMn33g8LKHGNfvXp1vvjiC1555RVatmzJd999h5OTU84Xn49ldtyzso2c/nzVjFMmWFlZ3XOfuqSkJOzs7B7Y7+4+D2qTjJlj7O+2ZMkSZs2alTPFFiCPOu6pqaksXbqUwYMH50a5BYY53u+HDx+mWbNm2NvbU7x4cfz8/Pjkk09yvvh8zly/axISEvjpp584ffo0L7/8MikpKTlbeD6X2XHPyjZy+vNVwSkTvLy8iIyMTPdcTEwMXl5eD+wXHR2d1udBbZIxc4z9HevXr6d169ZUrFgx5wouIB513Ldt28by5cspXrw4RYsWJTAwkD///JOiRYvmRvn5ljne7ykpKaSmpqa1+fr6EhERkYNVFwzmGPtNmzaxe/du2rZty6ZNm9i3bx9z587N+eLzscyOe1a2kdOfrwpOmdCqVSsuXbpEUlISQNoUYJMmTdL1a9OmDSdOnEh7fOrUKZ5++umHtknGzDH2cPuv8AsXLtClS5dcqDr/e9Rxb9y4MUeOHOGff/7hn3/+4b333qNRo0b8888/ubYP+ZE53u++vr6cPHkyrc3W1pYaNWrkdOn5njnG/ttvv6Vq1arA7Q/zKVOmsGXLltwoP9/K7Lg/SG5/vio4ZYKXlxcdOnRIO9lsw4YNBAYG4ujoyOzZszl+/DgAffv25bfffgNu/9W3c+dO/Pz8HtomGTPH2J8+fZqQkBDatWvHuXPn2L9/P8uWLbPMDuUTjzrujo6O+Pj4pH3dOfnTx8fHUruUL5jj/T5o0CDWrl1LYmIiANu2bWPAgAEW2Jv8xRxjX79+ffbt25e2TSsrqywFgMIos+N+h3F7NYB0z+X256uV8e8K5L7Cw8MZPXo0Pj4+REREMH36dOzt7XnssccICgqiR48eAHz44YccPnyYpKQkunXrli71PqhNMvYoY3/lyhWaNGnCpUuX0m3zq6++omfPnpbYnXzDHO/5Oz766CM++ugjLYCZCeYY988++4wtW7ZQvXp14uLiGDdunKV2J1951LE3mUxMnDgRZ2dnPD09uXjxIu++++59F3OU/y+z475nzx6GDBnC9evXWbFiBS1atEjbRm5+vio4iYiIiGSSDtWJiIiIZJKCk4iIiEgmKTiJiIiIZJKCk4iIiEgmKTiJiIiIZJKCk4iIiEgmKTiJiIiIZJKCk4iIiEgmKTiJiIiIZJKCk0geNnPmTN55551svfbcuXP4+fkREBBg5qrytmPHjqXdVDgoKChd26OMZ3Zk9meQ23XlV6GhoffcPulB9u7di8lkysGKpDBScBLJZZs2baJ+/fq4u7vz4osvMmzYMJ5//nl69erF4cOH0/V97rnnePnll7P1fUqWLAmQdrPXwuLNN98kKCiIzz//nB9//DHdDUEfZTyzI7M/g9yuyxK2bduGlZUVHTp0yNbr//nnH/73v/9Rrly5TL+mUqVKjB07lqSkpGx9T5H7UXASyWWtWrXi+eefp27dunzzzTfMmTOHn3/+mRo1atCoUSN27NiR1rdOnTo0a9YsW9/H2dkZLy8vc5Wdqw4cOJB2t/SsOHnyJJcvX8bOzo7q1atz5MgRrKys0tofZTyzI7M/g9yuyxI++OADXn75ZTZu3MiFCxey9Nro6GimTZtG7969s/S6okWL0rVrV8aMGZOl14k8iIKTiAXY2tqme2xlZUVQUBBt2rTBz8/PbN/n7tCQX0RFRdGrVy+yc//xq1evYm2dt36t5cefgbnFxsby9ddfM3jwYFq3bs1HH32UpdfPnDmTZ555Jlvfu0mTJuzdu5czZ85k6/Ui/5a3fsOIFHK9e/fm4MGDHDx4kOPHj9OrV6+082Nmz57N3LlzadasGaNHjwYgODiY2rVrs2HDBurVq0epUqX44IMPMtz++PHjGTduHC+++CKDBw9Oe/7IkSMEBQUxfPhw2rZty/Xr1wHYuXMnEyZMoEePHrz66qvExcXxzTff0KhRI1avXs3LL79M0aJFmT9/Ptu3b6dBgwaULl2a3bt3p237fttYvXo1jRo14rvvvqNz584ULVqU77//HoBvvvmGM2fOEBwczMcff3zPPhw6dIgBAwYQFBTE008/nfa9Nm/ezOLFi7l58ybDhw/n999/T/e6f49nVvbjQeO8atUqHBwc2LRpE3FxcYwfP/6BYenfP8d/17V06VKsrKzo378/qamp3Lp1i06dOhESEpLheP5bVvYto/fE/WrN6LmH+frrryldujRNmjTh1Vdf5cMPP8x0MDaZTISEhNCyZcss79sdTZs2TRs/kUdmiEiumzBhgtG0adN7nj9y5IgBGN99952RlJRk9O3b1+jVq5dx6NAho1+/foZhGEZ0dLQxffp0wzAM49q1awZgTJs2zYiJiTEmTJhg2NvbG+fOnUv7Pr169TIMwzAOHDhgVKpUyTAMw7h+/boBGOHh4UZMTIzRqFEjIz4+3jAMw2jQoIExZcoU49atW8aLL75oGIZhpKamGvXr1zemTJlixMTEGG5ubsa4ceOMuLg444svvjBcXV2N77//3jCZTMagQYOMl19+2TAMI8NtJCUlGcWKFTMGDRpkxMbGGrNnzzYef/zxtHHw9vY2Nm7ceM/4xMXFGTVr1jRu3bplGIZhfPPNN0bJkiWN6OhowzAMY+PGjYa3t/d9x/zu8TQMI0v78bBxvrveM2fOGHf/ar37Z3C/n+O/6zIMw+jQoYMxadKktMejRo164Hj+W2b3LaP3REa1ZvQ+fJinnnrKmDBhQtrrnJ2djV9//TVdn19//dWYO3fuPa/dv3+/YWdnZ6SkpGRp3+720UcfGQ0bNsxUrSIPoxknkTzkzkxFamoqdnZ2aScXu7i48PHHHzN79mzs7Ox4++23AShRogQAL730Ei4uLowePRoHBwd+/fXXe7ZdvXp1vvjiC5KSkvjjjz8AiImJ4eeff8bb2xtHR0cA1q9fz5AhQ1i7di0RERHMnz+fhQsXUq9ePVJSUnBxcaFo0aK0bt0aJycnmjRpQnR0NN26dcPKygpfX1+uXr0KkOE27OzscHV1pWvXrjg7O1OvXj2uXbv20PH55ZdfcHZ2xt3dHYAXXniBpKQkVq9e/dDX3j2ed8Y0s/uRlXF+0GzT/X6O/64LoE+fPnzyyScYhsH58+epVKkSkPF43u/7ZGbfMnpPZFRrRu/DBzl+/Djbtm3jlVdeAaBIkSJ06dLlnpnRtm3bMmTIkHtef/LkSdzd3bGxscnSvt2tRIkSnDp16qG1imSG7cO7iEhuOXHiBAC1atUC/v+HsI+PD59++imBgYEsWrSIzz//PO3D/G6Ojo5UqlSJW7du3dNmb2/P6dOnWbt2LX369AFI+2C++6qvO9u9ePEiFStWvOfwzd11AWkfaHdYW1unXQKe2W3Y2tpm6rLxkydPkpycnO57e3t7Exoa+tDX/vt7ZmU//u1B4/wgGf0c/11X586d6devH5s3b2bXrl1p5709aDz/LTP7ltF7IqNamzVrlqn34d1WrlxJ48aNqVatWtpzr776Kt27d+fmzZsUK1YMgGeffZa5c+dSs2bNdK9PTEy87zmBD9u3uzk4OBAdHf3AOkUySzNOInnIxx9/TKNGjahdu3a650NDQ+ncuTMnTpzg6aefTvvr/X6SkpLSfUjd8ccff7BixQree+89KlSokPa8l5cXf/75J7GxsWnP/fXXX5QuXZpffvmFhISEtOd37tyZpf0xxzbuVqFCBc6ePZvu8nLDMKhRo0a2t5ldd4+ztbU1qampD31NZn+OdnZ2vPHGG6xcuZLo6GiKFi0KmH88M3pPZFRrVt6HACkpKXzyySf39Gvfvj2urq58/vnnac+dPHmSqlWr3rON4sWL3/c8rqxISEhIG0ORR6XgJGIB9zu8snjxYjZu3MjKlSvTnjMMA8MwOHnyJKtXr8bNzY1Fixbdc2LtlStXgNsfdiaTKW2tnDuvB9i3bx9RUVEkJiby22+/ARAWFkbHjh0xmUy88sorbN++nTlz5hAbG0vHjh2Jjo6mc+fObNiwgSVLlqQtPnj3du/nTtuDtmEymdJt4+7/t7e3JyIigmPHjqXbbteuXXFxcWHVqlUA3Lp1i9TU1LT9TUlJSTcjdb+6/v09M7Mfd2Q0zqVKleKvv/4iJiaGr7/+GoDLly/f8z0y+jner47evXvzxRdf0Lx587TnHjSeD9vX+7Vn9J6IiIi4b633ey4pKQl/f3/27Nlzz/dYs2YNYWFh1KlTh0OHDqV9HTt2jObNm6e91yMjIylSpMg9M0sA9erVIzo6Ol2wz87PzdfXN8P+IlmS86dRicjd/vjjD6Nu3bqGh4eH0a9fP2P06NFGz549jd69extnzpxJ63fu3DmjWbNmRo0aNYzFixcbRYoUMUaOHGm8++67xoYNG9L6AcY777xjzJ8/3wgICDAOHDhgGIZhnD9/3mjatKlRtWpV459//jHOnTtnVKlSxahataqxZs0aw9fX13j77bcNk8lk/PHHH0b16tUNT09PY86cOWnb3rhxo1GrVi3Dw8PDGDdunGEYhrFmzRrDzs7O6N+/vxEaGmpMmjTJAIzg4GDj4sWLRteuXQ1PT0/jr7/+ynAb69atM2xtbY133nnHOHfunDF48GDD3t7eWLdunWEYhjFx4kTDy8vL+PHHH+8Zv127dhlNmzY1hg0bZrzzzjvGkSNHDMMwjAsXLhg9e/Y0rKysjI8++si4fv16utfdPZ6HDh3K8n5kNM539qdo0aJGs2bNjM2bNxtVq1Y1lixZcs/PYOPGjff8HP9d19169uxppKampnvufuP5b5ndt02bNmX4nrhfrfd77uLFi0aJEiXuOSHbMAzj+eefN4AHfu3Zs8f4888/jVdeeeW++2IYhtGoUSNj9+7dWdq3Oz83wzCMwYMH3/fEc5HssDKMbCyWIiJ5hpWVFWfPnsXHx8fSpRRoGucHmzlzJiNHjszWa1esWEFERMQ9t8i5Y9WqVZw6dSrD9odp2bIlP/30U9pFBSKPQofqRPIx465DPZJzNM4ZS01N5bPPPqNbt27Z3sbhw4epU6dOhu3/+c9/OHfuHDdv3szytn/55RcCAgIUmsRsFJxE8qnk5GSWLl0KwCeffJLuHBAxH43zg8XExNC1a9f7ntidWQsXLqRTp04P7DNv3jw+++yzLF0dd+jQIWJiYh56ErtIVuhQnYiI5BuxsbG4uLhkqm90dDSurq45XJEUNgpOIiIiIpmkQ3UiIiIimaTgJCIiIpJJCk4iIiIimaTgJCIiIpJJCk4iIiIimaTgJCIiIpJJCk4iIiIimaTgJCIiIpJJCk4iIiIimaTgJCIiIpJJ/w/glWjn2DtQWgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jm[:,1],jm[:,0])\n",
    "plt.plot((0,dy),(0,Vy),color='k')\n",
    "plt.plot((dy,dmax),(Vy,Vmax),color='k')\n",
    "plt.plot((0,dmax),(0.1*Vy,0.1*Vy),color='k',ls='--')\n",
    "plt.xlabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.xlim(0)\n",
    "plt.ylim(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "63ea2ff4-e3d1-4427-9114-be7e647584e8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "jmI = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank B/ResultsJM/dispI.out')\n",
    "upliftI = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank B/ResultsJM/UpliftI.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "e236f524-7fac-4c5f-bdba-9a7eb444d97e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.006949931945424338"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Vyt/ki+dy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "cc93b6fc-22d1-418d-960d-5636073fd3f7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31.540743587999714\n"
     ]
    }
   ],
   "source": [
    "ApoI = np.trapz(jmI[:,0],jmI[:,1])\n",
    "dyI = 0.006\n",
    "VyI = 22000\n",
    "dmaxI = 0.1\n",
    "VmaxI = jmI[-1,0]\n",
    "\n",
    "AblI = dyI*VyI*0.5+(VmaxI+VyI)*0.5*(dmaxI-dyI)\n",
    "print(abs(AblI-ApoI))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "4281113e-0cea-4160-afeb-a2d966b67a31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 102418.155)"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jmI[:,1],jmI[:,0])\n",
    "plt.plot((0,dyI),(0,VyI),color='k')\n",
    "plt.plot((dyI,dmaxI),(VyI,VmaxI),color='k')\n",
    "plt.plot((0,dmaxI),(0.1*VyI,0.1*VyI),color='k',ls='--')\n",
    "plt.xlabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.xlim(0)\n",
    "plt.ylim(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "ac759354-8b47-4699-a038-c894e3e33f51",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.23356476568047185"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(Vyt-VyI)/VyI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "c54c0929-aefb-4cb2-b10e-cf4dd86e61f2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.416933507678581"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(upliftI[:,1],jmI[:,1])\n",
    "plt.plot(upliftI[:,1],upliftI[:,1]*(hi/(2*R))*1.2)\n",
    "plt.ylabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "(wpl1*hi/(2*R)*1.2)/dyI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "4a835477-b872-485a-84c7-df92c4a12f88",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBK = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_M_2.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "615c4927-4e4e-4e07-aec8-4f5c0bda6fe0",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#wcomp = np.linspace(0.001,0.3,3000)\n",
    "Lcomp = np.zeros(len(dataBK[:,0]))\n",
    "Mcomp = np.zeros(len(Lcomp))\n",
    "\n",
    "for i in range(3,len(dataBK[:,0])):\n",
    "    Lcomp[i] = Uplift_SepL(dataBK[i,0]/1000)\n",
    "    Mcomp[i] = Base_Shear(Lcomp[i])*hi/1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "9bf7b736-b3bd-40a5-b17e-bc8010da570d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dataBK[:,0],Mcomp,label=r'Simplified Procedure from Calvi and Nascimbene (2023); $R^2=0.91$')\n",
    "plt.plot(dataBK[:,0],dataBK[:,1],label='Refined FE model (Bakalis and Karamanos, 2021)')\n",
    "#plt.plot(upliftI[:,1]*1000,jmI[:,0]*hi/1000, label='Simplified model from Bakalis et al (2017)')\n",
    "plt.xlabel(r'Uplift, $w$ (mm)')\n",
    "plt.ylabel(r'Overturning Moment, $M$ (MNm)')\n",
    "plt.xlim(0,250)\n",
    "plt.ylim(0)\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure2_P4.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "b1bbeeea-3ed4-45fc-b3a4-16edf0b691c0",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7835936021287325"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(Mcomp,dataBK[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "b444f335-6d3c-4f73-a0db-fedcf7bdab56",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.25818726768696826\n",
      "0.8368498281442914\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([0.7662984 , 0.77583186, 0.82128701, 0.83684983, 0.71701502,\n",
       "       0.51038244, 0.25203335, 0.16939564, 0.14020429, 0.107305  ,\n",
       "       0.08189549, 0.06877642, 0.06520123, 0.07216843, 0.07927953,\n",
       "       0.09082646, 0.10453337, 0.11038812, 0.11903753, 0.12356719,\n",
       "       0.13592424, 0.14745995, 0.16419953, 0.1775138 , 0.18436545,\n",
       "       0.18955886, 0.19698152, 0.20217986, 0.20712419, 0.21481341,\n",
       "       0.221777  , 0.23116496, 0.23484043])"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RE = np.zeros((len(dataBK[:,1])-9))\n",
    "\n",
    "for i in range(9,len(dataBK[:,1])):\n",
    "    RE[i-9] = abs(Mcomp[i]-dataBK[i,1])/dataBK[i,1]\n",
    "   \n",
    "MRE = np.mean(RE)\n",
    "print(MRE)\n",
    "print(max(RE))\n",
    "RE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "c10f1050-8033-41f0-a176-d1db4912d327",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "with open('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataM_SPB.txt','w') as f:\n",
    "    for i in range(len(Mcomp)):\n",
    "        f.write(str(dataBK[i,0])+' '+str(Mcomp[i])+'\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "9845312b-a803-4357-b3b5-7c33685a17c4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "70.81174511723772"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl1*1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "083e738c-e27f-43b2-bc3f-c94167f2f6c4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.935210062436894"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy*1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "c8d25662-f2bd-4059-8ac6-16df00263ef9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.8797654 ,   1.23167155,   1.23167155,   1.23167155,\n",
       "         1.23167155,   1.23167155,   1.23167155,   1.23167155,\n",
       "         1.23167155,   1.23167155,   1.40762463,   1.23167155,\n",
       "         1.23167155,   2.28739003,   4.2228739 ,   6.86217009,\n",
       "        11.43695015,  15.48387097,  21.9941349 ,  31.14369501,\n",
       "        43.81231672,  60.70381232,  74.07624633,  82.69794721,\n",
       "        97.65395894, 113.4897361 , 122.6392962 , 131.7888563 ,\n",
       "       138.8269795 , 152.1994135 , 166.9794721 , 189.1495601 ,\n",
       "       208.1524927 , 220.1173021 , 228.5630499 , 242.9912023 ,\n",
       "       256.7155425 , 264.8093842 , 279.2375367 , 295.0733138 ,\n",
       "       312.6686217 , 323.2258065 ])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataBK[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "d8cb99fd-4d64-41cc-a6cd-23760dbf6a03",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05285248915267394"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dpl1 = jmI[abs(wpl1-upliftI[:,1]).argmin(),1]\n",
    "Vpl1 = jmI[abs(wpl1-upliftI[:,1]).argmin(),0]\n",
    "\n",
    "Vpl1t = Base_Shear(Lpl1)\n",
    "\n",
    "(Vpl1t-Vpl1)/Vpl1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "681217ff-e09b-4aec-8e9b-9193bf710f5b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "b03914bb-8734-4148-bde7-4168001d8e2c",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBKC=np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_C_2.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "de87d150-ff38-40a3-bfa9-0f33cdf74123",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "jm2 = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank B/ResultsJM/dispC.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "ebdd7feb-f7ec-4487-a1e8-bd4ed13e5ed9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jm2[inxJ[7]:inxJ[8],1]/hi*1000,jm2[inxJ[7]:inxJ[8],0]*hi/1000,label='Reversed cyclic tests using Joystick Model')\n",
    "plt.plot(dataBKC[:,0],dataBKC[:,1],label='Refined FE model (Bakalis and Karamanos, 2021)')\n",
    "plt.xlabel(r'Base Rotation, $\\Psi_{i}$ (mrad)')\n",
    "plt.ylabel(r'Overturning Moment, $M_{OVT}$ (MNm)')\n",
    "#plt.xlim(0,0.01)\n",
    "#plt.ylim(0,20000)\n",
    "#plt.plot((0.003,0.003),(0,40000),ls='--',color='k')\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure5_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "5d370796-6ed6-466f-87cb-f707065d5a5a",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "with open('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataC_SPB.txt','w') as f:\n",
    "    for i in range(inxJ[8],inxJ[9]):\n",
    "        f.write(str(jm2[i,1]/hi*1000)+' '+str(jm2[i,0]*hi/1000)+'\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "ad81dd77-91aa-4f3e-98b3-58df41344599",
   "metadata": {},
   "outputs": [],
   "source": [
    "inxJ = []\n",
    "for i in range(0,len(jm2[:,1])):\n",
    "    if(i == 0):\n",
    "        inxJ.append(0)\n",
    "    if(jm2[i-1,1]<0.0 and jm2[i,1]>0.0):\n",
    "        inxJ.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "1c4f3108-965b-4cef-8644-4acb5e9d4783",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x20ab8659d90>]"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nJ = 9\n",
    "plt.plot(jm2[inxJ[nJ-1]:inxJ[nJ],1]/hi*1000,jm2[inxJ[nJ-1]:inxJ[nJ],0]*hi/1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "id": "45488260-b6ba-4c02-8247-d0149bf5420b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "EJ = np.zeros(len(inxJ))\n",
    "ksiJ = np.zeros(len(inxJ))\n",
    "dmaxJ = np.zeros(len(inxJ))\n",
    "\n",
    "for i in range(2,len(inxJ)):\n",
    "    EJ[i] = 0.0\n",
    "    for j in range(inxJ[i-1],inxJ[i]):\n",
    "        EJ[i] = EJ[i] + 2*0.5*(jm2[j-1,0]+jm2[j,0])*(jm2[j,1]-jm2[j-1,1])\n",
    "    ksiJ[i] = EJ[i]/(2*np.pi*max(jm2[inxJ[i-1]:inxJ[i],0])*max(jm2[inxJ[i-1]:inxJ[i],1]))\n",
    "    dmaxJ[i] = max(jm2[inxJ[i-1]:inxJ[i],1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "id": "0d8ff944-fc9a-449e-9434-e6375e6edb25",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.   ,  0.   ,  2.   ,  3.   ,  4.5  ,  6.   , 11.5  , 17.5  ,\n",
       "       23.   , 29.   , 35.   , 44.995, 52.495, 57.5  , 57.5  ])"
      ]
     },
     "execution_count": 182,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dy = 0.002\n",
    "mu = dmaxJ/dy\n",
    "mu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 841,
   "id": "5dbab674-2dff-4cf8-bc36-7fa864b849f2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1d6e74d1c50>"
      ]
     },
     "execution_count": 841,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "muc = np.linspace(1,50,5000)\n",
    "plt.plot(mu[4:],ksiJ[4:],'o',label='Data')\n",
    "#plt.plot(muc,func(muc,0.65,0.08,1),label=r'Porposed model, $R^2=0.99$')\n",
    "\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=12)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=12)\n",
    "plt.xlim(0,50)\n",
    "plt.ylim(0,0.3)\n",
    "plt.legend(fontsize=10)\n",
    "#plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure6_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "f80dcfbd-a381-4dd1-a692-a7bdf6c2ff68",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "with open('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Damping_Tank_A.txt','w') as file1:\n",
    "    for i in range(1,len(mu)):\n",
    "        file1.write(str(round(mu[i],3))+' '+str(round(ksiJ[i],3))+'\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "49ec3b46-9f01-4a26-8029-027881cb50de",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "R/tb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "cb9d7343-0e40-469c-bdb2-9d6b5e3419a4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def func(x,a,b,c):\n",
    "    return a*np.exp(b*(x-c))/(1+np.exp(b*(x-c)))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "5f96d1d8-f481-413e-959c-1bbb5e184793",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.66886039,  0.07135216, -1.05733832])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt,pcov = scp.optimize.curve_fit(func,mu[4:],ksiJ[4:])\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "c03ef718-1a38-4a2b-8cc6-d5458b752cb8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.021419544108285653"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SStot = 0\n",
    "for i in range(4,11):\n",
    "    SStot = SStot + (ksiJ[i] - np.mean(ksiJ[4:]))**2\n",
    "SStot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "id": "340106c9-3607-4b4a-80d5-48ba8a90048f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "SSerr1 = 0\n",
    "for i in range(4,11):\n",
    "    SSerr1 = SSerr1 + (ksiJ[i] - func(mu[i],0.5,0.07,1))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "id": "f9898fd5-cd61-4105-8270-d02f16c81b7d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9757307113097773"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1-(SSerr1/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "id": "bccaf51b-2b9a-4b44-b738-69f991ff2453",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.46046532, -0.08848636,  6.92871504])"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt,pcov = scp.optimize.curve_fit(func,dmaxJ[4:11]/dy,ksiJ[4:11])\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "id": "9da62be6-9d2a-44b5-822b-c8ce0a778c7e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.008880049081023772"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SStot2 = 0\n",
    "for i in range(4,11):\n",
    "    SStot2 = SStot2 + (ksiJ[i] - np.mean(ksiJ[2:]))**2\n",
    "SStot2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "id": "880344e7-91f8-4991-9df2-e58ca8a8cd8e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "SSerr2 = 0\n",
    "for i in range(4,11):\n",
    "    SSerr2 = SSerr2 + (ksiJ[i] - func(mu[i],0.5,0.08,7))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "id": "efcf3d59-ba16-40bf-85c8-8303146d5c9a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8920747477792438"
      ]
     },
     "execution_count": 147,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1-(SSerr2/SStot2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "078460f4-d7a7-4815-b0a7-0930d4dbcd6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "dspring = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DynamicAnalyses/Results/disp5.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "73e31d76-26b9-4599-b5ba-c969aa2d82be",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fbc8bba50>]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dspring[:,0],dspring[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "520274a1-791a-4f8a-b37f-ee1911cc62b5",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "fspring = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DynamicAnalyses/Results/force5.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "15998b60-27c3-45a2-986c-ded8552c61ee",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fc08ae390>]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(fspring[:,0],-fspring[:,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "bd6debf1-9819-4607-91ef-030fda5d939a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fc07da650>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dspring[:,1],-fspring[:,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1873dd9b-488e-4897-9e27-d191a84a4631",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
